Finite Group Databasebeta

← C73×#23340 #32932744

Subgroups — C73×#23340 #32932744

Order 18688.

642 conjugacy classes of subgroups.

The subgroup lattice has 606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2396C211yesmaximal, characteristic
2C73×#1984C211yesmaximal, characteristic, complemented
3C73×#1984C211yesmaximal, characteristic, complemented
4C73×#1940C211yesmaximal, characteristic, complemented
5C73×#1939C211yesmaximal, characteristic, complemented
6C73×#1924C211yesmaximal, characteristic
7C73×#1923C211yesmaximal, characteristic
8C73×#1923C211yesmaximal, characteristic
9C73×#1923C211yesmaximal, characteristic
10C73×#1917C211yesmaximal, characteristic, complemented
11C73×#1916C211yesmaximal, characteristic, complemented
12C73×#1916C211yesmaximal, characteristic, complemented
13C73×#1916C211yesmaximal, characteristic, complemented
14C73×#1818C211yesmaximal, characteristic
15C73×#1798C211yesmaximal, characteristic
16C2×C4×Q8×C73C2211yescharacteristic
17C2×#117×C73C2211yescharacteristic
18C2×C4⋊C8×C73C2211yescharacteristic
19C2×C4⋊C8×C73C2211yescharacteristic
20C2×C4⋊C8×C73C2211yescharacteristic
21C2×C4⋊C8×C73C2211yescharacteristic
22C2×C4⋊C8×C73C2211yescharacteristic
23C2×C4⋊C8×C73C2211yescharacteristic
24C2×C22⋊C8×C73C2211yescharacteristic
25C2×C22⋊C8×C73C2211yescharacteristic
26C2×C22⋊C8×C73C2211yescharacteristic
27C2×C22⋊C8×C73C2211yescharacteristic
28C2×#97×C73C2211yescharacteristic
29C2×C4×C8×C73C2211yescharacteristic
30C2×C4×C8×C73C2211yescharacteristic
31C2×C4×C8×C73C2211yescharacteristic
32#400×C73C411yescharacteristic
33#399×C73C411yescharacteristic
34#398×C73C411yescharacteristic
35#398×C73C411yescharacteristic
36#396×C73C411yescharacteristic
37#396×C73C411yescharacteristic
38#395×C73C411yescharacteristic
39#393×C73C411yescharacteristic
40C4×C4⋊C4×C73C2211yescharacteristic
41C4×C4⋊C4×C73C2211yescharacteristic
42C4×C4⋊C4×C73C2211yescharacteristic
43C4×C22⋊C4×C73C2211yescharacteristic
44C4×C22⋊C4×C73C2211yescharacteristic
45#336×C73C2211yescharacteristic
46#336×C73C2211yescharacteristic
47#336×C73C2211yescharacteristic
48#336×C73C2211yescharacteristic
49#336×C73C2211yescharacteristic
50#336×C73C2211yescharacteristic
51#336×C73C2211yescharacteristic
52#336×C73C2211yescharacteristic
53#336×C73C2211yescharacteristic
54#336×C73C2211yescharacteristic
55#336×C73C2211yescharacteristic
56#336×C73C2211yescharacteristic
57#336×C73C2211yescharacteristic
58#336×C73C2211yescharacteristic
59C22×Q8×C73C2×C411yescharacteristic
60C23×C4×C73C2311yescharacteristic
61C22×C8×C73C2311yescharacteristic
62C22×C8×C73C2311yescharacteristic
63C22×C8×C73C2311yescharacteristic
64C22×C8×C73C2311yescharacteristic
65C22×C8×C73C2311yescharacteristic
66C22×C8×C73C2311yescharacteristic
67C22×C8×C73C2311yescharacteristic
68C22×C8×C73C2311yescharacteristic
69C4×Q8×C73—41no—
70C4×Q8×C73—41no—
71#117×C73—41no—
72#117×C73—41no—
73C2×C4⋊C4×C73C2×C411yescharacteristic
74C2×C4⋊C4×C73C2×C411yescharacteristic
75C2×C4⋊C4×C73C2×C411yescharacteristic
76C2×C4⋊C4×C73C2×C411yescharacteristic
77C2×C4⋊C4×C73C2×C411yescharacteristic
78C2×C4⋊C4×C73C2×C411yescharacteristic
79C2×C4⋊C4×C73C2×C411yescharacteristic
80C2×C4⋊C4×C73C2×C411yescharacteristic
81C2×C4⋊C4×C73C2×C411yescharacteristic
82C2×C4⋊C4×C73C2×C411yescharacteristic
83C2×C4⋊C4×C73C2×C411yescharacteristic
84C2×C22⋊C4×C73C2×C411yescharacteristic
85C2×C22⋊C4×C73C2×C411yescharacteristic
86C2×C22⋊C4×C73C2×C411yescharacteristic
87C2×C22⋊C4×C73C2×C411yescharacteristic
88C2×C22⋊C4×C73C2×C411yescharacteristic
89C2×C22⋊C4×C73C2×C411yescharacteristic
90C2×C42×C73C2311yescharacteristic
91C2×C42×C73C2311yescharacteristic
92C2×C42×C73C2311yescharacteristic
93C2×C42×C73C2311yescharacteristic
94C2×C42×C73C2311yescharacteristic
95C2×C42×C73C2311yescharacteristic
96C4⋊C8×C73—41no—
97C4⋊C8×C73—41no—
98C4⋊C8×C73—41no—
99C4⋊C8×C73—41no—
100C4⋊C8×C73—41no—
101C4⋊C8×C73—41no—
102C22⋊C8×C73—41no—
103C22⋊C8×C73—41no—
104C22⋊C8×C73—41no—
105C22⋊C8×C73—41no—
106#97×C73—41no—
107C4×C8×C73—41no—
108C4×C8×C73—41no—
109C4×C8×C73—41no—
110#95×C73C2×C411yescharacteristic
111#95×C73C2×C411yescharacteristic
112#95×C73C2×C411yescharacteristic
113#95×C73C2×C411yescharacteristic
114#95×C73C2×C411yescharacteristic
115#95×C73C2×C411yescharacteristic
116#95×C73C2×C411yescharacteristic
117#95×C73C2×C411yescharacteristic
118#95×C73C2×C411yescharacteristic
119#95×C73C2×C411yescharacteristic
120C24×C73C22×C411yescharacteristic
121C2×Q8×C73—22no—
122C2×Q8×C73—22no—
123C2×Q8×C73—41no—
124C22×C4×C73—21no—
125C22×C4×C73—21no—
126C22×C4×C73—21no—
127C22×C4×C73—21no—
128C22×C4×C73—21no—
129C22×C4×C73—21no—
130C22×C4×C73C22×C411yescharacteristic
131C22×C4×C73C22×C411yescharacteristic
132C22×C4×C73C22×C411yescharacteristic
133C22×C4×C73C22×C411yescharacteristic
134C22×C4×C73C22×C411yescharacteristic
135C22×C4×C73C22×C411yescharacteristic
136C22×C4×C73C22×C411yescharacteristic
137C22×C4×C73C22×C411yescharacteristic
138C22×C4×C73C22×C411yescharacteristic
139C22×C4×C73C22×C411yescharacteristic
140C22×C4×C73C22×C411yescharacteristic
141C22×C4×C73C22×C411yescharacteristic
142C22×C4×C73C22×C411yescharacteristic
143C22×C4×C73C2411yescharacteristic
144C2×C8×C73—21no—
145C2×C8×C73—21no—
146C2×C8×C73—21no—
147C2×C8×C73—21no—
148C2×C8×C73—21no—
149C2×C8×C73—21no—
150C2×C8×C73—21no—
151C2×C8×C73—21no—
152C2×C8×C73—21no—
153C2×C8×C73—21no—
154C2×C8×C73—21no—
155C2×C8×C73—21no—
156C2×C8×C73—21no—
157C2×C8×C73—21no—
158C2×C8×C73—21no—
159C2×C8×C73—21no—
160C2×C8×C73—21no—
161C2×C8×C73—21no—
162C2×C8×C73—21no—
163C2×C8×C73—21no—
164C2×C8×C73—21no—
165C2×C8×C73—21no—
166C2×C8×C73—21no—
167C2×C8×C73—21no—
168C4⋊C4×C73—22no—
169C4⋊C4×C73—22no—
170C4⋊C4×C73—22no—
171C4⋊C4×C73—22no—
172C4⋊C4×C73—41no—
173C4⋊C4×C73—41no—
174C4⋊C4×C73—41no—
175C4⋊C4×C73—41no—
176C4⋊C4×C73—41no—
177C4⋊C4×C73—41no—
178C4⋊C4×C73—41no—
179C22⋊C4×C73—22no—
180C22⋊C4×C73—22no—
181C22⋊C4×C73—22no—
182C22⋊C4×C73—41no—
183C22⋊C4×C73—41no—
184C22⋊C4×C73—41no—
185C42×C73—21no—
186C42×C73—21no—
187C42×C73—21no—
188C42×C73—21no—
189C42×C73—21no—
190C42×C73—21no—
191C42×C73—21no—
192C42×C73—21no—
193C42×C73—21no—
194C42×C73—21no—
195C42×C73—21no—
196C42×C73—21no—
197C23×C73—21no—
198C23×C73—21no—
199C23×C73—21no—
200C23×C73—21no—
201C23×C73—21no—
202C23×C73—21no—
203C23×C73—21no—
204C23×C73C23×C411yescharacteristic
205Q8×C73—44no—
206C2×C4×C73—21no—
207C2×C4×C73—21no—
208C2×C4×C73—21no—
209C2×C4×C73—21no—
210C2×C4×C73—21no—
211C2×C4×C73—21no—
212C2×C4×C73—21no—
213C2×C4×C73—21no—
214C2×C4×C73—21no—
215C2×C4×C73—21no—
216C2×C4×C73—21no—
217C2×C4×C73—21no—
218C2×C4×C73—21no—
219C2×C4×C73—21no—
220C2×C4×C73—21no—
221C2×C4×C73—21no—
222C2×C4×C73—21no—
223C2×C4×C73—21no—
224C2×C4×C73—21no—
225C2×C4×C73—21no—
226C2×C4×C73—21no—
227C2×C4×C73—21no—
228C2×C4×C73—21no—
229C2×C4×C73—21no—
230C2×C4×C73—21no—
231C2×C4×C73—21no—
232C2×C4×C73—21no—
233C2×C4×C73—21no—
234C2×C4×C73—21no—
235C2×C4×C73—21no—
236C2×C4×C73—21no—
237C2×C4×C73—21no—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
242C2×C4×C73—41no—
243C2×C4×C73—41no—
244C2×C4×C73—41no—
245C2×C4×C73—41no—
246C2×C4×C73#13112yes—
247C2×C4×C73#13112yes—
248C2×C4×C73#13112yes—
249C2×C4×C73H(5,𝔽2)11yescharacteristic
250C2×C4×C73H(5,𝔽2)11yescharacteristic
251C2×C4×C73H(5,𝔽2)11yescharacteristic
252C2×C4×C732−1+411yescharacteristic
253C2×C4×C732−1+411yescharacteristic
254C2×C4×C732−1+411yescharacteristic
255C8×C73—41no—
256C8×C73—41no—
257C8×C73—41no—
258C8×C73—41no—
259C8×C73—41no—
260C8×C73—41no—
261C8×C73—41no—
262C8×C73—41no—
263C22×C73—41no—
264C22×C73—41no—
265C22×C73—41no—
266C22×C73—41no—
267C22×C73—41no—
268C22×C73—41no—
269C22×C73—41no—
270C22×C73#51811yescharacteristic
271C22×C73#51911yescharacteristic
272C22×C73#52011yescharacteristic
273C22×C73C2×#13111yescharacteristic
274C22×C73C2×#13111yescharacteristic
275C22×C73C2×#13111yescharacteristic
276C22×C73#56811yescharacteristic
277C4×C73—22no—
278C4×C73—22no—
279C4×C73—22no—
280C4×C73—41no—
281C4×C73—41no—
282C4×C73—41no—
283C4×C73—41no—
284C4×C73—41no—
285C4×C73—41no—
286C4×C73—41no—
287C4×C73—41no—
288C4×C73—41no—
289C4×C73—41no—
290C4×C73#56211yescharacteristic
291C4×C73#56211yescharacteristic
292C4×C73#56311yescharacteristic
293C4×C73#56311yescharacteristic
294#23340C7311yesmaximal, characteristic, direct product factor, Sylow
295C2×C73—81no—
296C2×C73#237811yescharacteristic
297C2×C73#297711yescharacteristic
298C2×C73#298111yescharacteristic
299C2×C73#298511yescharacteristic
300C2×C73#298611yescharacteristic
301C2×C73#299311yescharacteristic
302C2×C73#299411yescharacteristic
303#2396C2×C7311yescharacteristic
304#1984C2×C7311yescharacteristic, complemented
305#1984C2×C7311yescharacteristic, complemented
306#1940C2×C7311yescharacteristic, complemented
307#1939C2×C7311yescharacteristic, complemented
308#1924C2×C7311yescharacteristic
309#1923C2×C7311yescharacteristic
310#1923C2×C7311yescharacteristic
311#1923C2×C7311yescharacteristic
312#1917C2×C7311yescharacteristic, complemented
313#1916C2×C7311yescharacteristic, complemented
314#1916C2×C7311yescharacteristic, complemented
315#1916C2×C7311yescharacteristic, complemented
316#1818C2×C7311yescharacteristic
317#1798C2×C7311yescharacteristic
318C73#2334011yescharacteristic, direct product factor, Sylow
319C2×C4×Q8C22×C7311yescharacteristic
320C2×#117C22×C7311yescharacteristic
321C2×C4⋊C8C22×C7311yescharacteristic
322C2×C4⋊C8C22×C7311yescharacteristic
323C2×C4⋊C8C22×C7311yescharacteristic
324C2×C4⋊C8C22×C7311yescharacteristic
325C2×C4⋊C8C22×C7311yescharacteristic
326C2×C4⋊C8C22×C7311yescharacteristic
327C2×C22⋊C8C22×C7311yescharacteristic
328C2×C22⋊C8C22×C7311yescharacteristic
329C2×C22⋊C8C22×C7311yescharacteristic
330C2×C22⋊C8C22×C7311yescharacteristic
331C2×#97C22×C7311yescharacteristic
332C2×C4×C8C22×C7311yescharacteristic
333C2×C4×C8C22×C7311yescharacteristic
334C2×C4×C8C22×C7311yescharacteristic
335#400C4×C7311yescharacteristic
336#399C4×C7311yescharacteristic
337#398C4×C7311yescharacteristic
338#398C4×C7311yescharacteristic
339#396C4×C7311yescharacteristic
340#396C4×C7311yescharacteristic
341#395C4×C7311yescharacteristic
342#393C4×C7311yescharacteristic
343C4×C4⋊C4C22×C7311yescharacteristic
344C4×C4⋊C4C22×C7311yescharacteristic
345C4×C4⋊C4C22×C7311yescharacteristic
346C4×C22⋊C4C22×C7311yescharacteristic
347C4×C22⋊C4C22×C7311yescharacteristic
348#336C22×C7311yescharacteristic
349#336C22×C7311yescharacteristic
350#336C22×C7311yescharacteristic
351#336C22×C7311yescharacteristic
352#336C22×C7311yescharacteristic
353#336C22×C7311yescharacteristic
354#336C22×C7311yescharacteristic
355#336C22×C7311yescharacteristic
356#336C22×C7311yescharacteristic
357#336C22×C7311yescharacteristic
358#336C22×C7311yescharacteristic
359#336C22×C7311yescharacteristic
360#336C22×C7311yescharacteristic
361#336C22×C7311yescharacteristic
362C22×Q8C2×C4×C7311yescharacteristic
363C23×C4C23×C7311yescharacteristic
364C22×C8C23×C7311yescharacteristic
365C22×C8C23×C7311yescharacteristic
366C22×C8C23×C7311yescharacteristic
367C22×C8C23×C7311yescharacteristic
368C22×C8C23×C7311yescharacteristic
369C22×C8C23×C7311yescharacteristic
370C22×C8C23×C7311yescharacteristic
371C22×C8C23×C7311yescharacteristic
372C4×Q8—41no—
373C4×Q8—41no—
374#117—41no—
375#117—41no—
376C2×C4⋊C4C2×C4×C7311yescharacteristic
377C2×C4⋊C4C2×C4×C7311yescharacteristic
378C2×C4⋊C4C2×C4×C7311yescharacteristic
379C2×C4⋊C4C2×C4×C7311yescharacteristic
380C2×C4⋊C4C2×C4×C7311yescharacteristic
381C2×C4⋊C4C2×C4×C7311yescharacteristic
382C2×C4⋊C4C2×C4×C7311yescharacteristic
383C2×C4⋊C4C2×C4×C7311yescharacteristic
384C2×C4⋊C4C2×C4×C7311yescharacteristic
385C2×C4⋊C4C2×C4×C7311yescharacteristic
386C2×C4⋊C4C2×C4×C7311yescharacteristic
387C2×C22⋊C4C2×C4×C7311yescharacteristic
388C2×C22⋊C4C2×C4×C7311yescharacteristic
389C2×C22⋊C4C2×C4×C7311yescharacteristic
390C2×C22⋊C4C2×C4×C7311yescharacteristic
391C2×C22⋊C4C2×C4×C7311yescharacteristic
392C2×C22⋊C4C2×C4×C7311yescharacteristic
393C2×C42C23×C7311yescharacteristic
394C2×C42C23×C7311yescharacteristic
395C2×C42C23×C7311yescharacteristic
396C2×C42C23×C7311yescharacteristic
397C2×C42C23×C7311yescharacteristic
398C2×C42C23×C7311yescharacteristic
399C4⋊C8—41no—
400C4⋊C8—41no—
401C4⋊C8—41no—
402C4⋊C8—41no—
403C4⋊C8—41no—
404C4⋊C8—41no—
405C22⋊C8—41no—
406C22⋊C8—41no—
407C22⋊C8—41no—
408C22⋊C8—41no—
409#97—41no—
410C4×C8—41no—
411C4×C8—41no—
412C4×C8—41no—
413#95C2×C4×C7311yescharacteristic
414#95C2×C4×C7311yescharacteristic
415#95C2×C4×C7311yescharacteristic
416#95C2×C4×C7311yescharacteristic
417#95C2×C4×C7311yescharacteristic
418#95C2×C4×C7311yescharacteristic
419#95C2×C4×C7311yescharacteristic
420#95C2×C4×C7311yescharacteristic
421#95C2×C4×C7311yescharacteristic
422#95C2×C4×C7311yescharacteristic
423C24C22×C4×C7311yescharacteristic
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—41no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4C22×C4×C7311yescharacteristic
434C22×C4C22×C4×C7311yescharacteristic
435C22×C4C22×C4×C7311yescharacteristic
436C22×C4C22×C4×C7311yescharacteristic
437C22×C4C22×C4×C7311yescharacteristic
438C22×C4C22×C4×C7311yescharacteristic
439C22×C4C22×C4×C7311yescharacteristic
440C22×C4C22×C4×C7311yescharacteristic
441C22×C4C22×C4×C7311yescharacteristic
442C22×C4C22×C4×C7311yescharacteristic
443C22×C4C22×C4×C7311yescharacteristic
444C22×C4C22×C4×C7311yescharacteristic
445C22×C4C22×C4×C7311yescharacteristic
446C22×C4C24×C7311yescharacteristic
447C2×C8—21no—
448C2×C8—21no—
449C2×C8—21no—
450C2×C8—21no—
451C2×C8—21no—
452C2×C8—21no—
453C2×C8—21no—
454C2×C8—21no—
455C2×C8—21no—
456C2×C8—21no—
457C2×C8—21no—
458C2×C8—21no—
459C2×C8—21no—
460C2×C8—21no—
461C2×C8—21no—
462C2×C8—21no—
463C2×C8—21no—
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C4⋊C4—22no—
472C4⋊C4—22no—
473C4⋊C4—22no—
474C4⋊C4—22no—
475C4⋊C4—41no—
476C4⋊C4—41no—
477C4⋊C4—41no—
478C4⋊C4—41no—
479C4⋊C4—41no—
480C4⋊C4—41no—
481C4⋊C4—41no—
482C22⋊C4—22no—
483C22⋊C4—22no—
484C22⋊C4—22no—
485C22⋊C4—41no—
486C22⋊C4—41no—
487C22⋊C4—41no—
488C42—21no—
489C42—21no—
490C42—21no—
491C42—21no—
492C42—21no—
493C42—21no—
494C42—21no—
495C42—21no—
496C42—21no—
497C42—21no—
498C42—21no—
499C42—21no—
500C23—21no—
501C23—21no—
502C23—21no—
503C23—21no—
504C23—21no—
505C23—21no—
506C23—21no—
507C23C23×C4×C7311yescharacteristic
508Q8—44no—
509C2×C4—21no—
510C2×C4—21no—
511C2×C4—21no—
512C2×C4—21no—
513C2×C4—21no—
514C2×C4—21no—
515C2×C4—21no—
516C2×C4—21no—
517C2×C4—21no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—21no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—21no—
530C2×C4—21no—
531C2×C4—21no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4#131×C7312yes—
550C2×C4#131×C7312yes—
551C2×C4#131×C7312yes—
552C2×C4H(5,𝔽2)×C7311yescharacteristic
553C2×C4H(5,𝔽2)×C7311yescharacteristic
554C2×C4H(5,𝔽2)×C7311yescharacteristic
555C2×C42−1+4×C7311yescharacteristic
556C2×C42−1+4×C7311yescharacteristic
557C2×C42−1+4×C7311yescharacteristic
558C8—41no—
559C8—41no—
560C8—41no—
561C8—41no—
562C8—41no—
563C8—41no—
564C8—41no—
565C8—41no—
566C22—41no—
567C22—41no—
568C22—41no—
569C22—41no—
570C22—41no—
571C22—41no—
572C22—41no—
573C22#518×C7311yescharacteristic
574C22#519×C7311yescharacteristic
575C22#520×C7311yescharacteristic
576C22C2×#131×C7311yescharacteristic
577C22C2×#131×C7311yescharacteristic
578C22C2×#131×C7311yescharacteristic
579C22#568×C7311yescharacteristic
580C4—22no—
581C4—22no—
582C4—22no—
583C4—41no—
584C4—41no—
585C4—41no—
586C4—41no—
587C4—41no—
588C4—41no—
589C4—41no—
590C4—41no—
591C4—41no—
592C4—41no—
593C4#562×C7311yescharacteristic
594C4#562×C7311yescharacteristic
595C4#563×C7311yescharacteristic
596C4#563×C7311yescharacteristic
597C2—81no—
598C2C73×#237811yescharacteristic
599C2C73×#297711yescharacteristic
600C2C73×#298111yescharacteristic
601C2C73×#298511yescharacteristic
602C2C73×#298611yescharacteristic
603C2C73×#299311yescharacteristic
604C2C73×#299411yescharacteristic
subgroupG/H
centerC22×C4×C73C24
commutatorC23C23×C4×C73
Frattini, cosocleC22×C4C24×C73
socleC23×C73C23×C4
prime radicalC24×C73C22×C4
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
2. C73×#1984C2semidirect
3. C73×#1984C2semidirect
4. C73×#1940C2semidirect
5. C73×#1939C2semidirect
10. C73×#1917C2semidirect
11. C73×#1916C2semidirect
12. C73×#1916C2semidirect
13. C73×#1916C2semidirect
294. #23340C73direct (N × H)
304. #1984C2×C73semidirect
305. #1984C2×C73semidirect
306. #1940C2×C73semidirect
307. #1939C2×C73semidirect
312. #1917C2×C73semidirect
313. #1916C2×C73semidirect
314. #1916C2×C73semidirect
315. #1916C2×C73semidirect
318. C73#23340direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#23962
C73×#19842
C73×#19402
C73×#19392
C73×#19242
C73×#19232
C73×#19172
C73×#19162
C73×#18182
C73×#17982
#2334073