Finite Group Databasebeta

← C73×#26837 #32936241

Subgroups — C73×#26837 #32936241

Order 18688.

832 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#488×C73C211yesmaximal, characteristic, complemented
2C2×#440×C73C211yesmaximal, characteristic, complemented
3C73×#2454C211yesmaximal, characteristic, complemented
4C73×#2448C211yesmaximal, characteristic, complemented
5C73×#2067C211yesmaximal, characteristic, complemented
6C73×#2059C211yesmaximal, characteristic, complemented
7C73×#2055C211yesmaximal, characteristic, complemented
8C73×#2012C211yesmaximal, characteristic
9C73×#1972C211yesmaximal, characteristic
10C73×#1936C211yesmaximal, characteristic, complemented
11C73×#1935C211yesmaximal, characteristic, complemented
12C73×#1934C211yesmaximal, characteristic, complemented
13C73×#1879C211yesmaximal, characteristic
14C73×#1865C211yesmaximal, characteristic, complemented
15C73×#1771C211yesmaximal, characteristic, complemented
16C22×SD16×C73C2211yescharacteristic
17C22×D8×C73C2211yescharacteristic
18C2×#125×C73C2211yescharacteristic
19C2×#124×C73C2211yescharacteristic
20C2×C4×Q8×C73C2211yescharacteristic
21C2×C4×D4×C73C2211yescharacteristic
22#488×C73—24no—
23#440×C73—24no—
24C2×#107×C73C2211yescharacteristic
25C2×#106×C73C2211yescharacteristic
26C2×C4⋊C8×C73C2211yescharacteristic
27C2×#103×C73C2211yescharacteristic
28C2×#103×C73C2211yescharacteristic
29C2×#103×C73C2211yescharacteristic
30C2×#102×C73C2211yescharacteristic
31C2×#102×C73C2211yescharacteristic
32C2×#102×C73C2211yescharacteristic
33C2×#102×C73C2211yescharacteristic
34C2×#102×C73C2211yescharacteristic
35C2×#97×C73C2211yescharacteristic
36C2×#97×C73C2211yescharacteristic
37C2×C4×C8×C73C2211yescharacteristic
38#399×C73—21no—
39#399×C73—21no—
40#397×C73—21no—
41#396×C73—21no—
42#391×C73C2211yescharacteristic
43#390×C73C2211yescharacteristic
44#390×C73C2211yescharacteristic
45#390×C73C2211yescharacteristic
46#390×C73C2211yescharacteristic
47#389×C73C2211yescharacteristic
48#389×C73C2211yescharacteristic
49#389×C73C2211yescharacteristic
50#388×C73—21no—
51#388×C73—21no—
52#385×C73—21no—
53#380×C73—21no—
54C4×C4⋊C4×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#340×C73C2211yescharacteristic
58#340×C73C2211yescharacteristic
59#336×C73C2211yescharacteristic
60#336×C73C2211yescharacteristic
61C22×Q8×C73C2311yescharacteristic
62C22×D4×C73C2311yescharacteristic
63C22×D4×C73C2311yescharacteristic
64C23×C4×C73—21no—
65C2×SD16×C73—22no—
66C2×SD16×C73—22no—
67C2×SD16×C73—22no—
68C2×D8×C73—22no—
69C2×D8×C73—22no—
70C2×D8×C73—41no—
71C22×C8×C73C2311yescharacteristic
72C22×C8×C73C2311yescharacteristic
73C22×C8×C73C2311yescharacteristic
74C22×C8×C73C2311yescharacteristic
75#125×C73—22no—
76#125×C73—41no—
77#124×C73—22no—
78#124×C73—41no—
79C4×Q8×C73—22no—
80C4×Q8×C73—41no—
81C4×D4×C73—22no—
82C4×D4×C73—41no—
83C2×C4⋊C4×C73—21no—
84C2×C4⋊C4×C73—21no—
85C2×C4⋊C4×C73—21no—
86C2×C4⋊C4×C73—21no—
87C2×C4⋊C4×C73—21no—
88C2×C4⋊C4×C73—21no—
89C2×C4⋊C4×C73D411yescharacteristic
90C2×C4⋊C4×C73D411yescharacteristic
91C2×C4⋊C4×C73C2311yescharacteristic
92C2×C4⋊C4×C73C2311yescharacteristic
93C2×C4⋊C4×C73C2311yescharacteristic
94C2×C4⋊C4×C73C2311yescharacteristic
95C2×C4⋊C4×C73C2311yescharacteristic
96C2×C22⋊C4×C73—21no—
97C2×C22⋊C4×C73—21no—
98C2×C22⋊C4×C73—21no—
99C2×C22⋊C4×C73—21no—
100C2×C22⋊C4×C73—21no—
101C2×C22⋊C4×C73—21no—
102C2×C22⋊C4×C73—21no—
103C2×C22⋊C4×C73—21no—
104C2×C22⋊C4×C73—21no—
105C2×C22⋊C4×C73—21no—
106C2×C22⋊C4×C73—21no—
107C2×C42×C73—21no—
108C2×C42×C73C2311yescharacteristic
109C2×C42×C73C2311yescharacteristic
110C2×C42×C73C2311yescharacteristic
111#107×C73—22no—
112#106×C73—41no—
113C4⋊C8×C73—22no—
114#103×C73—22no—
115#103×C73—22no—
116#103×C73D414yes—
117#102×C73—22no—
118#102×C73—22no—
119#102×C73—22no—
120#102×C73—22no—
121#102×C73—22no—
122#97×C73—22no—
123#97×C73—22no—
124C4×C8×C73—22no—
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×C73C2×D412yes—
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#4112yes—
152C22×C4×C73—21no—
153C22×C4×C73—21no—
154C22×C4×C73—21no—
155C22×C4×C73—21no—
156C22×C4×C73—21no—
157C22×C4×C73—21no—
158C22×C4×C73—42no—
159C22×C4×C73—42no—
160C22×C4×C73—81no—
161C22×C4×C73C2×D411yescharacteristic
162C22×C4×C73C2×D411yescharacteristic
163C22×C4×C73C2×D411yescharacteristic
164C22×C4×C73C2×D411yescharacteristic
165C22×C4×C73C2×D411yescharacteristic
166C22×C4×C73C2×D411yescharacteristic
167C22×C4×C73C2411yescharacteristic
168SD16×C73—28no—
169D8×C73—44no—
170C2×C8×C73—21no—
171C2×C8×C73—21no—
172C2×C8×C73—21no—
173C2×C8×C73—21no—
174C2×C8×C73—21no—
175C2×C8×C73—21no—
176C2×C8×C73—21no—
177C2×C8×C73—21no—
178C2×C8×C73—21no—
179C2×C8×C73C2×D412yes—
180C2×C8×C73#4112yes—
181C2×C8×C73#4112yes—
182C4⋊C4×C73—21no—
183C4⋊C4×C73—21no—
184C4⋊C4×C73—21no—
185C4⋊C4×C73—21no—
186C4⋊C4×C73—21no—
187C4⋊C4×C73—21no—
188C4⋊C4×C73—21no—
189C4⋊C4×C73—21no—
190C4⋊C4×C73—21no—
191C4⋊C4×C73—41no—
192C4⋊C4×C73—41no—
193C4⋊C4×C73—42no—
194C4⋊C4×C73—42no—
195C4⋊C4×C73—42no—
196C4⋊C4×C73—81no—
197C4⋊C4×C73—81no—
198C4⋊C4×C73—81no—
199C4⋊C4×C73C2×D412yes—
200C22⋊C4×C73—42no—
201C22⋊C4×C73—42no—
202C22⋊C4×C73—42no—
203C22⋊C4×C73—42no—
204C22⋊C4×C73—42no—
205C22⋊C4×C73—42no—
206C22⋊C4×C73—81no—
207C22⋊C4×C73—81no—
208C22⋊C4×C73—81no—
209C22⋊C4×C73—81no—
210C22⋊C4×C73—81no—
211C42×C73—21no—
212C42×C73—21no—
213C42×C73—21no—
214C42×C73—21no—
215C42×C73—21no—
216C42×C73—21no—
217C42×C73—42no—
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—22no—
234Q8×C73—22no—
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—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
258C2×C4×C73—21no—
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—41no—
281C2×C4×C73—84no—
282C2×C4×C73C22×D411yescharacteristic
283C2×C4×C73C2×#4111yescharacteristic
284C2×C4×C73C2×#4111yescharacteristic
285C2×C4×C73C2×#4111yescharacteristic
286C2×C4×C73H(5,𝔽2)11yescharacteristic
287C2×C4×C732−1+411yescharacteristic
288C8×C73—22no—
289C8×C73—22no—
290C8×C73—22no—
291C8×C73—41no—
292C22×C73—42no—
293C22×C73—42no—
294C22×C73—42no—
295C22×C73—81no—
296C22×C73—81no—
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#53211yescharacteristic
307C22×C73D4211yescharacteristic
308C22×C73#54811yescharacteristic
309C22×C73#57511yescharacteristic
310C22×C73#57511yescharacteristic
311C22×C73#57611yescharacteristic
312C22×C73#57711yescharacteristic
313C4×C73—41no—
314C4×C73—41no—
315C4×C73—42no—
316C4×C73—41no—
317C4×C73—41no—
318C4×C73—42no—
319C4×C73—41no—
320C4×C73—41no—
321C4×C73—81no—
322C4×C73—81no—
323C4×C73—81no—
324C4×C73—81no—
325C4×C73#52511yescharacteristic
326C4×C73#54211yescharacteristic
327C4×C73#54711yescharacteristic
328C4×C73#55111yescharacteristic
329#26837C7311yesmaximal, characteristic, direct product factor, Sylow
330C2×C73—82no—
331C2×C73—161no—
332C2×C73#246111yescharacteristic
333C2×C73#317911yescharacteristic
334C2×C73#318311yescharacteristic
335C2×C73#326811yescharacteristic
336C2×C73#327111yescharacteristic
337C2×C73#337011yescharacteristic
338C2×C73#337611yescharacteristic
339C2×#488C2×C7311yescharacteristic, complemented
340C2×#440C2×C7311yescharacteristic, complemented
341#2454C2×C7311yescharacteristic, complemented
342#2448C2×C7311yescharacteristic, complemented
343#2067C2×C7311yescharacteristic, complemented
344#2059C2×C7311yescharacteristic, complemented
345#2055C2×C7311yescharacteristic, complemented
346#2012C2×C7311yescharacteristic
347#1972C2×C7311yescharacteristic
348#1936C2×C7311yescharacteristic, complemented
349#1935C2×C7311yescharacteristic, complemented
350#1934C2×C7311yescharacteristic, complemented
351#1879C2×C7311yescharacteristic
352#1865C2×C7311yescharacteristic, complemented
353#1771C2×C7311yescharacteristic, complemented
354C73#2683711yescharacteristic, direct product factor, Sylow
355C22×SD16C22×C7311yescharacteristic
356C22×D8C22×C7311yescharacteristic
357C2×#125C22×C7311yescharacteristic
358C2×#124C22×C7311yescharacteristic
359C2×C4×Q8C22×C7311yescharacteristic
360C2×C4×D4C22×C7311yescharacteristic
361#488—24no—
362#440—24no—
363C2×#107C22×C7311yescharacteristic
364C2×#106C22×C7311yescharacteristic
365C2×C4⋊C8C22×C7311yescharacteristic
366C2×#103C22×C7311yescharacteristic
367C2×#103C22×C7311yescharacteristic
368C2×#103C22×C7311yescharacteristic
369C2×#102C22×C7311yescharacteristic
370C2×#102C22×C7311yescharacteristic
371C2×#102C22×C7311yescharacteristic
372C2×#102C22×C7311yescharacteristic
373C2×#102C22×C7311yescharacteristic
374C2×#97C22×C7311yescharacteristic
375C2×#97C22×C7311yescharacteristic
376C2×C4×C8C22×C7311yescharacteristic
377#399—21no—
378#399—21no—
379#397—21no—
380#396—21no—
381#391C22×C7311yescharacteristic
382#390C22×C7311yescharacteristic
383#390C22×C7311yescharacteristic
384#390C22×C7311yescharacteristic
385#390C22×C7311yescharacteristic
386#389C22×C7311yescharacteristic
387#389C22×C7311yescharacteristic
388#389C22×C7311yescharacteristic
389#388—21no—
390#388—21no—
391#385—21no—
392#380—21no—
393C4×C4⋊C4C22×C7311yescharacteristic
394#340C22×C7311yescharacteristic
395#340C22×C7311yescharacteristic
396#340C22×C7311yescharacteristic
397#340C22×C7311yescharacteristic
398#336C22×C7311yescharacteristic
399#336C22×C7311yescharacteristic
400C22×Q8C23×C7311yescharacteristic
401C22×D4C23×C7311yescharacteristic
402C22×D4C23×C7311yescharacteristic
403C23×C4—21no—
404C2×SD16—22no—
405C2×SD16—22no—
406C2×SD16—22no—
407C2×D8—22no—
408C2×D8—22no—
409C2×D8—41no—
410C22×C8C23×C7311yescharacteristic
411C22×C8C23×C7311yescharacteristic
412C22×C8C23×C7311yescharacteristic
413C22×C8C23×C7311yescharacteristic
414#125—22no—
415#125—41no—
416#124—22no—
417#124—41no—
418C4×Q8—22no—
419C4×Q8—41no—
420C4×D4—22no—
421C4×D4—41no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4D4×C7311yescharacteristic
429C2×C4⋊C4D4×C7311yescharacteristic
430C2×C4⋊C4C23×C7311yescharacteristic
431C2×C4⋊C4C23×C7311yescharacteristic
432C2×C4⋊C4C23×C7311yescharacteristic
433C2×C4⋊C4C23×C7311yescharacteristic
434C2×C4⋊C4C23×C7311yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C42—21no—
447C2×C42C23×C7311yescharacteristic
448C2×C42C23×C7311yescharacteristic
449C2×C42C23×C7311yescharacteristic
450#107—22no—
451#106—41no—
452C4⋊C8—22no—
453#103—22no—
454#103—22no—
455#103D4×C7314yes—
456#102—22no—
457#102—22no—
458#102—22no—
459#102—22no—
460#102—22no—
461#97—22no—
462#97—22no—
463C4×C8—22no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95D4×C7311yescharacteristic
470#95D4×C7311yescharacteristic
471C24—21no—
472C24—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8C2×D4×C7312yes—
479C2×D4—21no—
480C2×D4—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#41×C7312yes—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—81no—
500C22×C4C2×D4×C7311yescharacteristic
501C22×C4C2×D4×C7311yescharacteristic
502C22×C4C2×D4×C7311yescharacteristic
503C22×C4C2×D4×C7311yescharacteristic
504C22×C4C2×D4×C7311yescharacteristic
505C22×C4C2×D4×C7311yescharacteristic
506C22×C4C24×C7311yescharacteristic
507SD16—28no—
508D8—44no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8C2×D4×C7312yes—
519C2×C8#41×C7312yes—
520C2×C8#41×C7312yes—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—41no—
531C4⋊C4—41no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—81no—
536C4⋊C4—81no—
537C4⋊C4—81no—
538C4⋊C4C2×D4×C7312yes—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—42no—
557C23—22no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23C22×D4×C7311yescharacteristic
572Q8—22no—
573Q8—22no—
574Q8—41no—
575Q8—41no—
576D4—22no—
577D4—22no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—41no—
605C2×C4—41no—
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—84no—
621C2×C4C22×D4×C7311yescharacteristic
622C2×C4C2×#41×C7311yescharacteristic
623C2×C4C2×#41×C7311yescharacteristic
624C2×C4C2×#41×C7311yescharacteristic
625C2×C4H(5,𝔽2)×C7311yescharacteristic
626C2×C42−1+4×C7311yescharacteristic
627C8—22no—
628C8—22no—
629C8—22no—
630C8—41no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22#532×C7311yescharacteristic
646C22D42×C7311yescharacteristic
647C22#548×C7311yescharacteristic
648C22#575×C7311yescharacteristic
649C22#575×C7311yescharacteristic
650C22#576×C7311yescharacteristic
651C22#577×C7311yescharacteristic
652C4—42no—
653C4—41no—
654C4—41no—
655C4—42no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4#525×C7311yescharacteristic
665C4#542×C7311yescharacteristic
666C4#547×C7311yescharacteristic
667C4#551×C7311yescharacteristic
668C2—82no—
669C2—161no—
670C2C73×#246111yescharacteristic
671C2C73×#317911yescharacteristic
672C2C73×#318311yescharacteristic
673C2C73×#326811yescharacteristic
674C2C73×#327111yescharacteristic
675C2C73×#337011yescharacteristic
676C2C73×#337611yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC22×D8×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×#440×C73C2semidirect
3. C73×#2454C2semidirect
4. C73×#2448C2semidirect
5. C73×#2067C2semidirect
6. C73×#2059C2semidirect
7. C73×#2055C2semidirect
10. C73×#1936C2semidirect
11. C73×#1935C2semidirect
12. C73×#1934C2semidirect
14. C73×#1865C2semidirect
15. C73×#1771C2semidirect
329. #26837C73direct (N × H)
339. C2×#488C2×C73semidirect
340. C2×#440C2×C73semidirect
341. #2454C2×C73semidirect
342. #2448C2×C73semidirect
343. #2067C2×C73semidirect
344. #2059C2×C73semidirect
345. #2055C2×C73semidirect
348. #1936C2×C73semidirect
349. #1935C2×C73semidirect
350. #1934C2×C73semidirect
352. #1865C2×C73semidirect
353. #1771C2×C73semidirect
354. C73#26837direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#488×C732
C2×#440×C732
C73×#24542
C73×#24482
C73×#20672
C73×#20592
C73×#20552
C73×#20122
C73×#19722
C73×#19362
C73×#19352
C73×#19342
C73×#18792
C73×#18652
C73×#17712
#2683773