Finite Group Databasebeta

← C73×#26223 #32935627

Subgroups — C73×#26223 #32935627

Order 18688.

790 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2417C211yesmaximal, characteristic
2C73×#2354C211yesmaximal, characteristic
3C73×#2100C211yesmaximal, characteristic, complemented
4C73×#2077C211yesmaximal, characteristic, complemented
5C73×#2072C211yesmaximal, characteristic, complemented
6C73×#2035C211yesmaximal, characteristic, complemented
7C73×#1927C211yesmaximal, characteristic, complemented
8C73×#1920C211yesmaximal, characteristic, complemented
9C73×#1894C211yesmaximal, characteristic, complemented
10C73×#1873C211yesmaximal, characteristic, complemented
11C73×#1873C211yesmaximal, characteristic, complemented
12C73×#1870C211yesmaximal, characteristic
13C73×#1853C211yesmaximal, characteristic, complemented
14C73×#1825C211yesmaximal, characteristic, complemented
15C73×#1736C211yesmaximal, characteristic, complemented
16C22×M16×C73C2211yescharacteristic
17C2×C22⋊Q8×C73C2211yescharacteristic
18C2×C22⋊Q8×C73C2211yescharacteristic
19C2×C4×D4×C73C2211yescharacteristic
20C2×#117×C73C2211yescharacteristic
21C2×#117×C73C2211yescharacteristic
22C22×C4⋊C4×C73C2211yescharacteristic
23C2×#106×C73C2211yescharacteristic
24C2×#106×C73C2211yescharacteristic
25C2×#103×C73C2211yescharacteristic
26C2×#103×C73C2211yescharacteristic
27C2×#103×C73C2211yescharacteristic
28C2×#103×C73C2211yescharacteristic
29C2×C22⋊C8×C73C2211yescharacteristic
30C2×C22⋊C8×C73C2211yescharacteristic
31C2×C22⋊C8×C73C2211yescharacteristic
32#398×C73—21no—
33#396×C73—21no—
34#391×C73C2211yescharacteristic
35#390×C73—21no—
36#389×C73C2211yescharacteristic
37#388×C73—21no—
38#388×C73—21no—
39#386×C73—21no—
40#384×C73C2211yescharacteristic
41#380×C73—21no—
42#380×C73C2211yescharacteristic
43#380×C73C2211yescharacteristic
44#380×C73C2211yescharacteristic
45C4×C4⋊C4×C73—21no—
46C4×C4⋊C4×C73C2211yescharacteristic
47#340×C73C2211yescharacteristic
48#340×C73C2211yescharacteristic
49#340×C73C2211yescharacteristic
50#340×C73C2211yescharacteristic
51#340×C73C2211yescharacteristic
52#340×C73C2211yescharacteristic
53#340×C73C2211yescharacteristic
54#340×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#336×C73C2211yescharacteristic
58#336×C73C2211yescharacteristic
59C22×Q8×C73C2311yescharacteristic
60C22×D4×C73D411yescharacteristic
61C23×C4×C73—21no—
62C23×C4×C73C2311yescharacteristic
63C23×C4×C73C2311yescharacteristic
64C2×M16×C73—22no—
65C2×M16×C73—41no—
66C2×M16×C73—41no—
67C22×C8×C73C2311yescharacteristic
68C22×C8×C73C2311yescharacteristic
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71C22⋊Q8×C73—22no—
72C22⋊Q8×C73—22no—
73C22⋊Q8×C73—22no—
74C22⋊Q8×C73—41no—
75C4×D4×C73—22no—
76C4×D4×C73—22no—
77#117×C73—22no—
78#117×C73—22no—
79#117×C73—41no—
80#117×C73—41no—
81C2×C4⋊C4×C73—22no—
82C2×C4⋊C4×C73—21no—
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—41no—
89C2×C4⋊C4×C73D411yescharacteristic
90C2×C4⋊C4×C73C2311yescharacteristic
91C2×C4⋊C4×C73C2311yescharacteristic
92C2×C4⋊C4×C73C2311yescharacteristic
93C2×C4⋊C4×C73C2311yescharacteristic
94C2×C4⋊C4×C73C2311yescharacteristic
95C2×C4⋊C4×C73C2311yescharacteristic
96C2×C4⋊C4×C73C2311yescharacteristic
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×C73D411yescharacteristic
105C2×C22⋊C4×C73D411yescharacteristic
106C2×C42×C73—21no—
107C2×C42×C73—21no—
108C2×C42×C73—21no—
109C2×C42×C73C2311yescharacteristic
110#106×C73—22no—
111#106×C73—41no—
112#103×C73—22no—
113#103×C73—41no—
114#103×C73—41no—
115#103×C73—41no—
116C22⋊C8×C73—22no—
117C22⋊C8×C73—41no—
118C22⋊C8×C73—41no—
119#95×C73—21no—
120#95×C73—21no—
121#95×C73—21no—
122#95×C73—21no—
123#95×C73—21no—
124#95×C73—21no—
125#95×C73—21no—
126C24×C73C2×D411yescharacteristic
127C24×C73C2×D411yescharacteristic
128C2×Q8×C73—21no—
129C2×Q8×C73—21no—
130C2×Q8×C73—21no—
131C2×Q8×C73—21no—
132C2×Q8×C73—21no—
133C2×Q8×C73—21no—
134C2×D4×C73—22no—
135C2×D4×C73—22no—
136C2×D4×C73—41no—
137C22×C4×C73—21no—
138C22×C4×C73—21no—
139C22×C4×C73—21no—
140C22×C4×C73—21no—
141C22×C4×C73—21no—
142C22×C4×C73—21no—
143C22×C4×C73—21no—
144C22×C4×C73—21no—
145C22×C4×C73—21no—
146C22×C4×C73—21no—
147C22×C4×C73—21no—
148C22×C4×C73—21no—
149C22×C4×C73—21no—
150C22×C4×C73—21no—
151C22×C4×C73—21no—
152C22×C4×C73—21no—
153C22×C4×C73—21no—
154C22×C4×C73—21no—
155C22×C4×C73—42no—
156C22×C4×C73—42no—
157C22×C4×C73—81no—
158C22×C4×C73C2×D411yescharacteristic
159C22×C4×C73C2×D411yescharacteristic
160C22×C4×C73C2×D411yescharacteristic
161C22×C4×C73C2×D411yescharacteristic
162C22×C4×C73#4112yes—
163C22×C4×C73#4112yes—
164C22×C4×C73C2411yescharacteristic
165M16×C73—44no—
166C2×C8×C73—21no—
167C2×C8×C73—21no—
168C2×C8×C73—21no—
169C2×C8×C73—21no—
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—
178C4⋊C4×C73—22no—
179C4⋊C4×C73—21no—
180C4⋊C4×C73—21no—
181C4⋊C4×C73—21no—
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—42no—
192C4⋊C4×C73—42no—
193C4⋊C4×C73—42no—
194C4⋊C4×C73—42no—
195C4⋊C4×C73—81no—
196C4⋊C4×C73—81no—
197C4⋊C4×C73#4112yes—
198C4⋊C4×C73#4112yes—
199C22⋊C4×C73—22no—
200C22⋊C4×C73—22no—
201C22⋊C4×C73—42no—
202C22⋊C4×C73—42no—
203C22⋊C4×C73—42no—
204C22⋊C4×C73—42no—
205C22⋊C4×C73—81no—
206C22⋊C4×C73—81no—
207C22⋊C4×C73—81no—
208C42×C73—21no—
209C42×C73—21no—
210C42×C73—42no—
211C42×C73—42no—
212C42×C73—42no—
213C23×C73—21no—
214C23×C73—21no—
215C23×C73—21no—
216C23×C73—21no—
217C23×C73—21no—
218C23×C73—21no—
219C23×C73—21no—
220C23×C73—21no—
221C23×C73—21no—
222C23×C73—21no—
223C23×C73—21no—
224C23×C73—21no—
225C23×C73—21no—
226C23×C73#12312yes—
227C23×C73C22×D411yescharacteristic
228Q8×C73—41no—
229Q8×C73—41no—
230Q8×C73—41no—
231Q8×C73—41no—
232D4×C73—44no—
233C2×C4×C73—21no—
234C2×C4×C73—21no—
235C2×C4×C73—21no—
236C2×C4×C73—21no—
237C2×C4×C73—22no—
238C2×C4×C73—22no—
239C2×C4×C73—22no—
240C2×C4×C73—22no—
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—22no—
244C2×C4×C73—21no—
245C2×C4×C73—22no—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—41no—
250C2×C4×C73—41no—
251C2×C4×C73—41no—
252C2×C4×C73—41no—
253C2×C4×C73—41no—
254C2×C4×C73—41no—
255C2×C4×C73—41no—
256C2×C4×C73—41no—
257C2×C4×C73—41no—
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—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—84no—
276C2×C4×C73#12312yes—
277C2×C4×C73#13712yes—
278C2×C4×C73C2×#4111yescharacteristic
279C2×C4×C73C2×#4111yescharacteristic
280C2×C4×C73C2×#4111yescharacteristic
281C2×C4×C73C2×#4111yescharacteristic
282C2×C4×C73H(5,𝔽2)11yescharacteristic
283C2×C4×C73H(5,𝔽2)11yescharacteristic
284C8×C73—41no—
285C8×C73—41no—
286C8×C73—41no—
287C8×C73—41no—
288C22×C73—22no—
289C22×C73—22no—
290C22×C73—22no—
291C22×C73—41no—
292C22×C73—41no—
293C22×C73—41no—
294C22×C73—41no—
295C22×C73—41no—
296C22×C73—41no—
297C22×C73—41no—
298C22×C73—41no—
299C22×C73—41no—
300C22×C73—41no—
301C22×C73—41no—
302C22×C73C2×#12311yescharacteristic
303C22×C73#54611yescharacteristic
304C22×C73#54611yescharacteristic
305C22×C73C2×#13711yescharacteristic
306C22×C73#57511yescharacteristic
307C22×C73#57711yescharacteristic
308C22×C73#57711yescharacteristic
309C4×C73—22no—
310C4×C73—22no—
311C4×C73—42no—
312C4×C73—41no—
313C4×C73—41no—
314C4×C73—42no—
315C4×C73—81no—
316C4×C73—81no—
317C4×C73—81no—
318C4×C73—81no—
319C4×C73—81no—
320C4×C73—81no—
321C4×C73#52911yescharacteristic
322C4×C73#53811yescharacteristic
323C4×C73#55311yescharacteristic
324C4×C73#55311yescharacteristic
325#26223C7311yesmaximal, characteristic, direct product factor, Sylow
326C2×C73—42no—
327C2×C73—81no—
328C2×C73#244411yescharacteristic
329C2×C73#309511yescharacteristic
330C2×C73#309911yescharacteristic
331C2×C73#331111yescharacteristic
332C2×C73#331711yescharacteristic
333C2×C73#332911yescharacteristic
334C2×C73#333111yescharacteristic
335#2417C2×C7311yescharacteristic
336#2354C2×C7311yescharacteristic
337#2100C2×C7311yescharacteristic, complemented
338#2077C2×C7311yescharacteristic, complemented
339#2072C2×C7311yescharacteristic, complemented
340#2035C2×C7311yescharacteristic, complemented
341#1927C2×C7311yescharacteristic, complemented
342#1920C2×C7311yescharacteristic, complemented
343#1894C2×C7311yescharacteristic, complemented
344#1873C2×C7311yescharacteristic, complemented
345#1873C2×C7311yescharacteristic, complemented
346#1870C2×C7311yescharacteristic
347#1853C2×C7311yescharacteristic, complemented
348#1825C2×C7311yescharacteristic, complemented
349#1736C2×C7311yescharacteristic, complemented
350C73#2622311yescharacteristic, direct product factor, Sylow
351C22×M16C22×C7311yescharacteristic
352C2×C22⋊Q8C22×C7311yescharacteristic
353C2×C22⋊Q8C22×C7311yescharacteristic
354C2×C4×D4C22×C7311yescharacteristic
355C2×#117C22×C7311yescharacteristic
356C2×#117C22×C7311yescharacteristic
357C22×C4⋊C4C22×C7311yescharacteristic
358C2×#106C22×C7311yescharacteristic
359C2×#106C22×C7311yescharacteristic
360C2×#103C22×C7311yescharacteristic
361C2×#103C22×C7311yescharacteristic
362C2×#103C22×C7311yescharacteristic
363C2×#103C22×C7311yescharacteristic
364C2×C22⋊C8C22×C7311yescharacteristic
365C2×C22⋊C8C22×C7311yescharacteristic
366C2×C22⋊C8C22×C7311yescharacteristic
367#398—21no—
368#396—21no—
369#391C22×C7311yescharacteristic
370#390—21no—
371#389C22×C7311yescharacteristic
372#388—21no—
373#388—21no—
374#386—21no—
375#384C22×C7311yescharacteristic
376#380—21no—
377#380C22×C7311yescharacteristic
378#380C22×C7311yescharacteristic
379#380C22×C7311yescharacteristic
380C4×C4⋊C4—21no—
381C4×C4⋊C4C22×C7311yescharacteristic
382#340C22×C7311yescharacteristic
383#340C22×C7311yescharacteristic
384#340C22×C7311yescharacteristic
385#340C22×C7311yescharacteristic
386#340C22×C7311yescharacteristic
387#340C22×C7311yescharacteristic
388#340C22×C7311yescharacteristic
389#340C22×C7311yescharacteristic
390#340C22×C7311yescharacteristic
391#340C22×C7311yescharacteristic
392#336C22×C7311yescharacteristic
393#336C22×C7311yescharacteristic
394C22×Q8C23×C7311yescharacteristic
395C22×D4D4×C7311yescharacteristic
396C23×C4—21no—
397C23×C4C23×C7311yescharacteristic
398C23×C4C23×C7311yescharacteristic
399C2×M16—22no—
400C2×M16—41no—
401C2×M16—41no—
402C22×C8C23×C7311yescharacteristic
403C22×C8C23×C7311yescharacteristic
404C22×C8C23×C7311yescharacteristic
405C22×C8C23×C7311yescharacteristic
406C22⋊Q8—22no—
407C22⋊Q8—22no—
408C22⋊Q8—22no—
409C22⋊Q8—41no—
410C4×D4—22no—
411C4×D4—22no—
412#117—22no—
413#117—22no—
414#117—41no—
415#117—41no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—41no—
424C2×C4⋊C4D4×C7311yescharacteristic
425C2×C4⋊C4C23×C7311yescharacteristic
426C2×C4⋊C4C23×C7311yescharacteristic
427C2×C4⋊C4C23×C7311yescharacteristic
428C2×C4⋊C4C23×C7311yescharacteristic
429C2×C4⋊C4C23×C7311yescharacteristic
430C2×C4⋊C4C23×C7311yescharacteristic
431C2×C4⋊C4C23×C7311yescharacteristic
432C2×C22⋊C4—21no—
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⋊C4D4×C7311yescharacteristic
440C2×C22⋊C4D4×C7311yescharacteristic
441C2×C42—21no—
442C2×C42—21no—
443C2×C42—21no—
444C2×C42C23×C7311yescharacteristic
445#106—22no—
446#106—41no—
447#103—22no—
448#103—41no—
449#103—41no—
450#103—41no—
451C22⋊C8—22no—
452C22⋊C8—41no—
453C22⋊C8—41no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461C24C2×D4×C7311yescharacteristic
462C24C2×D4×C7311yescharacteristic
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—41no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—81no—
493C22×C4C2×D4×C7311yescharacteristic
494C22×C4C2×D4×C7311yescharacteristic
495C22×C4C2×D4×C7311yescharacteristic
496C22×C4C2×D4×C7311yescharacteristic
497C22×C4#41×C7312yes—
498C22×C4#41×C7312yes—
499C22×C4C24×C7311yescharacteristic
500M16—44no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C4⋊C4—22no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—81no—
531C4⋊C4—81no—
532C4⋊C4#41×C7312yes—
533C4⋊C4#41×C7312yes—
534C22⋊C4—22no—
535C22⋊C4—22no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C42—21no—
544C42—21no—
545C42—42no—
546C42—42no—
547C42—42no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23#123×C7312yes—
562C23C22×D4×C7311yescharacteristic
563Q8—41no—
564Q8—41no—
565Q8—41no—
566Q8—41no—
567D4—44no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—84no—
611C2×C4#123×C7312yes—
612C2×C4#137×C7312yes—
613C2×C4C2×#41×C7311yescharacteristic
614C2×C4C2×#41×C7311yescharacteristic
615C2×C4C2×#41×C7311yescharacteristic
616C2×C4C2×#41×C7311yescharacteristic
617C2×C4H(5,𝔽2)×C7311yescharacteristic
618C2×C4H(5,𝔽2)×C7311yescharacteristic
619C8—41no—
620C8—41no—
621C8—41no—
622C8—41no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22C2×#123×C7311yescharacteristic
638C22#546×C7311yescharacteristic
639C22#546×C7311yescharacteristic
640C22C2×#137×C7311yescharacteristic
641C22#575×C7311yescharacteristic
642C22#577×C7311yescharacteristic
643C22#577×C7311yescharacteristic
644C4—22no—
645C4—22no—
646C4—41no—
647C4—42no—
648C4—42no—
649C4—41no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4#529×C7311yescharacteristic
657C4#538×C7311yescharacteristic
658C4#553×C7311yescharacteristic
659C4#553×C7311yescharacteristic
660C2—42no—
661C2—81no—
662C2C73×#244411yescharacteristic
663C2C73×#309511yescharacteristic
664C2C73×#309911yescharacteristic
665C2C73×#331111yescharacteristic
666C2C73×#331711yescharacteristic
667C2C73×#332911yescharacteristic
668C2C73×#333111yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC22×D4×C73D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C73 ◁ C2×C4×D4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
3. C73×#2100C2semidirect
4. C73×#2077C2semidirect
5. C73×#2072C2semidirect
6. C73×#2035C2semidirect
7. C73×#1927C2semidirect
8. C73×#1920C2semidirect
9. C73×#1894C2semidirect
10. C73×#1873C2semidirect
11. C73×#1873C2semidirect
13. C73×#1853C2semidirect
14. C73×#1825C2semidirect
15. C73×#1736C2semidirect
325. #26223C73direct (N × H)
337. #2100C2×C73semidirect
338. #2077C2×C73semidirect
339. #2072C2×C73semidirect
340. #2035C2×C73semidirect
341. #1927C2×C73semidirect
342. #1920C2×C73semidirect
343. #1894C2×C73semidirect
344. #1873C2×C73semidirect
345. #1873C2×C73semidirect
347. #1853C2×C73semidirect
348. #1825C2×C73semidirect
349. #1736C2×C73semidirect
350. C73#26223direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#24172
C73×#23542
C73×#21002
C73×#20772
C73×#20722
C73×#20352
C73×#19272
C73×#19202
C73×#18942
C73×#18732
C73×#18702
C73×#18532
C73×#18252
C73×#17362
#2622373