Finite Group Databasebeta

← #33009677

Subgroups — #33009677

Order 18688.

1442 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988485C211yesmaximal, characteristic
2C2×#17988468C212yesmaximal
3C2×C4×C4⋊Dic73C211yesmaximal, characteristic
4#22608191C212yesmaximal
5#22608181C212yesmaximal
6#22608161C211yesmaximal, characteristic
7#22608161C211yesmaximal, characteristic
8#22608161C211yesmaximal, characteristic
9#22608161C211yesmaximal, characteristic
10#22608155C212yesmaximal
11C2×C4×C4⋊C4×C73C211yesmaximal, characteristic
12C22×C4⋊Dic73C2211yescharacteristic
13C22×C4⋊Dic73C2211yescharacteristic
14C22×C4⋊Dic73C2211yescharacteristic
15C22×C4⋊Dic73C2211yescharacteristic
16C22×#11924007C2212yes—
17C22×C4×Dic73C2212yes—
18#17988485C418yescomplemented
19#17988468—28no—
20C4×C4⋊Dic73—24no—
21C2×#14556498C2212yes—
22C2×#14556498C2212yes—
23C2×#14556498C2212yes—
24C2×#14556498C2212yes—
25C2×#14556498C2212yes—
26C2×#14556498C2212yes—
27C2×#14556498C2212yes—
28C2×#14556498C2212yes—
29C2×#14556498C2212yes—
30C2×#14556498C2212yes—
31C22×C4⋊C4×C73C2211yescharacteristic
32C22×C4⋊C4×C73C2211yescharacteristic
33C22×C42×C73C2211yescharacteristic
34C22×C42×C73C2211yescharacteristic
35C22×C42×C73C2211yescharacteristic
36C4×C4⋊C4×C73—24no—
37C2×#95×C73C2211yescharacteristic
38C2×#95×C73C2211yescharacteristic
39C23×Dic73C2312yes—
40C23×Dic73C2312yes—
41C23×Dic73C2312yes—
42C23×Dic73C2312yes—
43C2×C4⋊Dic73—22no—
44C2×C4⋊Dic73—22no—
45C2×C4⋊Dic73—22no—
46C2×C4⋊Dic73—22no—
47C2×C4⋊Dic73—22no—
48C2×C4⋊Dic73—22no—
49C2×C4⋊Dic73—22no—
50C2×C4⋊Dic73—22no—
51C2×C4⋊Dic73—22no—
52C2×C4⋊Dic73C2×C414yes—
53C2×C4⋊Dic73C2×C414yes—
54C2×C4⋊Dic73Q814yes—
55C2×#11924007—24no—
56C2×#11924007—24no—
57C2×#11924007C2×C418yes—
58C2×C4×Dic73—24no—
59C2×C4×Dic73—24no—
60C2×C4×Dic73—24no—
61#14556498—24no—
62#14556498—24no—
63#14556498—24no—
64#14556498—24no—
65#14556498—24no—
66#14556498—24no—
67#14556498—42no—
68#14556498—42no—
69#14556498—42no—
70#14556498C2×C418yes—
71C23×C4×C73C2311yescharacteristic
72C23×C4×C73C2311yescharacteristic
73C23×C4×C73C2311yescharacteristic
74C23×C4×C73C2311yescharacteristic
75C23×C4×C73C2311yescharacteristic
76C23×C4×C73C2311yescharacteristic
77C23×C4×C73C2311yescharacteristic
78C2×C4⋊C4×C73—22no—
79C2×C4⋊C4×C73—22no—
80C2×C4⋊C4×C73—22no—
81C2×C4⋊C4×C73—22no—
82C2×C4⋊C4×C73—22no—
83C2×C4⋊C4×C73D414yes—
84C2×C42×C73—22no—
85C2×C42×C73—22no—
86C2×C42×C73—22no—
87C2×C42×C73—22no—
88C2×C42×C73—22no—
89C2×C42×C73—22no—
90C2×C42×C73—22no—
91C2×C42×C73C2×C414yes—
92C2×C42×C73D414yes—
93#95×C73—22no—
94#95×C73—22no—
95C22×Dic73—22no—
96C22×Dic73—22no—
97C22×Dic73—22no—
98C22×Dic73—22no—
99C22×Dic73—22no—
100C22×Dic73—22no—
101C22×Dic73—22no—
102C22×Dic73—22no—
103C22×Dic73—22no—
104C22×Dic73—22no—
105C22×Dic73—22no—
106C22×Dic73—22no—
107C22×Dic73—22no—
108C22×Dic73—22no—
109C22×Dic73—22no—
110C22×Dic73—22no—
111C22×Dic73—22no—
112C22×Dic73—22no—
113C22×Dic73—22no—
114C22×Dic73—22no—
115C22×Dic73—22no—
116C22×Dic73—22no—
117C22×Dic73—22no—
118C22×Dic73—22no—
119C22×Dic73—22no—
120C22×Dic73C22×C414yes—
121C22×Dic73C22×C414yes—
122C22×Dic73C2×Q814yes—
123C4⋊Dic73—28no—
124C4⋊Dic73—28no—
125C4⋊Dic73—28no—
126C4⋊Dic73—44no—
127#11924007—216no—
128C4×Dic73—48no—
129C24×C73C2411yescharacteristic
130C22×C4×C73—21no—
131C22×C4×C73—21no—
132C22×C4×C73—21no—
133C22×C4×C73—21no—
134C22×C4×C73—21no—
135C22×C4×C73—21no—
136C22×C4×C73—21no—
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—21no—
156C22×C4×C73—21no—
157C22×C4×C73—21no—
158C22×C4×C73—21no—
159C22×C4×C73—21no—
160C22×C4×C73—21no—
161C22×C4×C73—21no—
162C22×C4×C73C22×C412yes—
163C22×C4×C73C22×C412yes—
164C22×C4×C73C22×C412yes—
165C22×C4×C73C2×D412yes—
166C22×C4×C73C2×D412yes—
167C22×C4×C73C2×D412yes—
168C22×C4×C73C2×D412yes—
169C22×C4×C73C2×D412yes—
170C22×C4×C73C2×D412yes—
171C22×C4×C73C2×Q812yes—
172C22×C4×C73#4112yes—
173C22×C4×C73#4112yes—
174C22×C4×C73#4112yes—
175C22×C4×C73#4112yes—
176C22×C4×C73#4112yes—
177C22×C4×C73#4112yes—
178C22×C4×C73#4112yes—
179C4⋊C4×C73—28no—
180C4⋊C4×C73—28no—
181C42×C73—28no—
182C42×C73—28no—
183C42×C73—44no—
184C23×C73C23×C411yescharacteristic
185C23×C73C22×D411yescharacteristic
186C23×C73C22×D411yescharacteristic
187C23×C73C22×Q811yescharacteristic
188C23×C73C2×#4111yescharacteristic
189C23×C73C2×#4111yescharacteristic
190C23×C73C2×#4111yescharacteristic
191C23×C73C2×#4111yescharacteristic
192C23×C73C2×#4111yescharacteristic
193C23×C73C2×#4111yescharacteristic
194C23×C73C2×#4111yescharacteristic
195C23×C73H(5,𝔽2)11yescharacteristic
196C23×C732−1+411yescharacteristic
197C23×C732−1+411yescharacteristic
198C23×C732−1+411yescharacteristic
199C2×C4×C73—22no—
200C2×C4×C73—22no—
201C2×C4×C73—22no—
202C2×C4×C73—22no—
203C2×C4×C73—22no—
204C2×C4×C73—22no—
205C2×C4×C73—22no—
206C2×C4×C73—22no—
207C2×C4×C73—22no—
208C2×C4×C73—22no—
209C2×C4×C73—22no—
210C2×C4×C73—22no—
211C2×C4×C73—22no—
212C2×C4×C73—22no—
213C2×C4×C73—22no—
214C2×C4×C73—22no—
215C2×C4×C73—22no—
216C2×C4×C73—22no—
217C2×C4×C73—22no—
218C2×C4×C73—22no—
219C2×C4×C73—22no—
220C2×C4×C73—22no—
221C2×C4×C73—22no—
222C2×C4×C73—22no—
223C2×C4×C73—41no—
224C2×C4×C73—41no—
225C2×C4×C73—41no—
226C2×C4×C73—41no—
227C2×C4×C73—41no—
228C2×C4×C73—41no—
229C2×C4×C73—41no—
230C2×C4×C73—41no—
231C2×C4×C73—41no—
232C2×C4×C73—41no—
233C2×C4×C73—41no—
234C2×C4×C73—41no—
235C2×C4×C73—41no—
236C2×C4×C73—41no—
237C2×C4×C73—41no—
238C2×C4×C73—41no—
239C2×C4×C73#11714yes—
240C2×C4×C73C4×D414yes—
241C2×C4×C73C4×D414yes—
242C2×C4×C73C4×Q814yes—
243C2×C4×C73#12114yes—
244C2×C4×C73C22⋊Q814yes—
245C2×C4×C73#12314yes—
246C2×C4×C73#12514yes—
247C2×C4×C73#12614yes—
248C2×Dic73—24no—
249C2×Dic73—24no—
250C2×Dic73—24no—
251C2×Dic73—24no—
252C2×Dic73—24no—
253C2×Dic73—24no—
254C2×Dic73—24no—
255C2×Dic73—24no—
256C2×Dic73—24no—
257C2×Dic73—42no—
258C2×Dic73—42no—
259C2×Dic73—42no—
260C2×Dic73—42no—
261C2×Dic73—42no—
262C2×Dic73—42no—
263C2×Dic73—42no—
264C2×Dic73—42no—
265C2×Dic73—42no—
266C2×Dic73—42no—
267C2×Dic73—42no—
268C2×Dic73—42no—
269C2×Dic73—42no—
270C2×Dic73—42no—
271C2×Dic73—42no—
272C2×Dic73—42no—
273C2×Dic73—42no—
274C2×Dic73—42no—
275C2×Dic73—42no—
276C22×C73C2×#11711yescharacteristic
277C22×C73C2×C4×D411yescharacteristic
278C22×C73C2×C4×D411yescharacteristic
279C22×C73C2×C4×Q811yescharacteristic
280C22×C73C4×#4111yescharacteristic
281C22×C73#51911yescharacteristic
282C22×C73#52011yescharacteristic
283C22×C73C2×#12111yescharacteristic
284C22×C73C2×C22⋊Q811yescharacteristic
285C22×C73C2×#12311yescharacteristic
286C22×C73#52511yescharacteristic
287C22×C73C2×#12511yescharacteristic
288C22×C73C2×#12611yescharacteristic
289C22×C73#52911yescharacteristic
290C22×C73#53211yescharacteristic
291C22×C73#53611yescharacteristic
292C22×C73#53711yescharacteristic
293C22×C73#54111yescharacteristic
294C22×C73#54211yescharacteristic
295C22×C73#54711yescharacteristic
296C22×C73#54711yescharacteristic
297C22×C73D4×Q811yescharacteristic
298C22×C73#55011yescharacteristic
299C22×C73#55211yescharacteristic
300C22×C73#55211yescharacteristic
301C22×C73#55211yescharacteristic
302C22×C73#55311yescharacteristic
303C22×C73#55411yescharacteristic
304C22×C73#55511yescharacteristic
305C22×C73#55611yescharacteristic
306C22×C73#55611yescharacteristic
307C22×C73#55611yescharacteristic
308C22×C73#55611yescharacteristic
309C22×C73#55711yescharacteristic
310C22×C73#55711yescharacteristic
311C4×C73—24no—
312C4×C73—24no—
313C4×C73—42no—
314C4×C73—42no—
315C4×C73—42no—
316C4×C73—42no—
317C4×C73#38718yescomplemented
318Dic73—44no—
319Dic73—44no—
320Dic73—44no—
321Dic73—82no—
322#14042—731nomaximal, Sylow
323C2×C73C2×#38711yescharacteristic
324C2×C73C4×#12111yescharacteristic
325C2×C73#232311yescharacteristic
326C2×C73#235411yescharacteristic
327C2×C73#235611yescharacteristic
328C2×C73#236511yescharacteristic
329C2×C73#237011yescharacteristic
330C2×C73#248511yescharacteristic
331C2×C73#248611yescharacteristic
332C2×C73#250611yescharacteristic
333C2×C73#250811yescharacteristic
334C2×C73#251211yescharacteristic
335C2×C73#251411yescharacteristic
336C2×C73#253811yescharacteristic
337C2×C73#258111yescharacteristic
338C2×#389—731no—
339C2×#387—732no—
340C2×C4×C4⋊C4—731no—
341C2×C4×C4⋊C4D7311yescharacteristic
342#1443—732no—
343#1441—732no—
344C4⋊#95—731no—
345C4⋊#95—731no—
346C4⋊#95—731no—
347C4⋊#95—731no—
348#1434—732no—
349C73#1404211yescharacteristic, complemented, Sylow
350C22×C4⋊C4—731no—
351C22×C4⋊C4—731no—
352C22×C4⋊C4—731no—
353C22×C4⋊C4—732no—
354C22×C4⋊C4—731no—
355C22×C4⋊C4C2×D7311yescharacteristic
356C22×C4⋊C4C2×D7311yescharacteristic
357C22×C42—732no—
358C22×C42C2×D7311yescharacteristic
359C22×C42C2×D7311yescharacteristic
360C22×C42C2×D7311yescharacteristic
361#389—738no—
362#387—1468no—
363C4×C4⋊C4—24no—
364C4×C4⋊C4—1464no—
365C2×#95—732no—
366C2×#95—732no—
367C2×#95—732no—
368C2×#95—732no—
369C2×#95—732no—
370C2×#95—732no—
371C2×#95—732no—
372C2×#95—732no—
373C2×#95—732no—
374C2×#95—732no—
375C2×#95C2×D7311yescharacteristic
376C2×#95C2×D7311yescharacteristic
377C23×C4—732no—
378C23×C4—732no—
379C23×C4—732no—
380C23×C4—732no—
381C23×C4C22×D7311yescharacteristic
382C23×C4C22×D7311yescharacteristic
383C23×C4C22×D7311yescharacteristic
384C23×C4C22×D7311yescharacteristic
385C23×C4C22×D7311yescharacteristic
386C23×C4C22×D7311yescharacteristic
387C23×C4C22×D7311yescharacteristic
388C2×C4⋊C4—22no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—738no—
394C2×C4⋊C4—734no—
395C2×C4⋊C4—734no—
396C2×C4⋊C4—734no—
397C2×C4⋊C4—1462no—
398C2×C4⋊C4—1462no—
399C2×C4⋊C4—1462no—
400C2×C4⋊C4—1462no—
401C2×C4⋊C4—1462no—
402C2×C4⋊C4—1464no—
403C2×C4⋊C4—1462no—
404C2×C4⋊C4—1464no—
405C2×C4⋊C4—1462no—
406C2×C4⋊C4—1462no—
407C2×C4⋊C4—1462no—
408C2×C4⋊C4D29214yes—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—22no—
413C2×C42—22no—
414C2×C42—22no—
415C2×C42—22no—
416C2×C42—1464no—
417C2×C42—1464no—
418C2×C42—1464no—
419C2×C42C4×D7314yes—
420C2×C42C22⋊D7314yes—
421#95—22no—
422#95—22no—
423#95—2922no—
424#95—2922no—
425#95—2922no—
426#95—738no—
427#95—1464no—
428#95—1464no—
429#95—1464no—
430#95—1464no—
431#95—1464no—
432#95—1464no—
433C24C23×D7311yescharacteristic
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—734no—
467C22×C4—734no—
468C22×C4—734no—
469C22×C4—1462no—
470C22×C4—1462no—
471C22×C4—1462no—
472C22×C4—1462no—
473C22×C4—1462no—
474C22×C4—1462no—
475C22×C4—1462no—
476C22×C4—1462no—
477C22×C4—1462no—
478C22×C4—1462no—
479C22×C4—1462no—
480C22×C4—1462no—
481C22×C4—1462no—
482C22×C4—1462no—
483C22×C4—1462no—
484C22×C4—1462no—
485C22×C4—1462no—
486C22×C4—1462no—
487C22×C4—1462no—
488C22×C4—1462no—
489C22×C4—1462no—
490C22×C4—1462no—
491C22×C4—1462no—
492C22×C4—1462no—
493C22×C4—1462no—
494C22×C4C2×C4×D7312yes—
495C22×C4C2×C4×D7312yes—
496C22×C4C2×C4×D7312yes—
497C22×C4C2×C22⋊D7312yes—
498C22×C4C2×C22⋊D7312yes—
499C22×C4C2×C22⋊D7312yes—
500C22×C4C2×D29212yes—
501C22×C4C2×D29212yes—
502C22×C4C2×D29212yes—
503C22×C4Q8×D7312yes—
504C22×C4#1192402712yes—
505C22×C4#1192402712yes—
506C22×C4#1192402812yes—
507C22×C4#1192402812yes—
508C22×C4#1192402812yes—
509C22×C4#1192402812yes—
510C22×C4#1192402912yes—
511C4⋊C4—28no—
512C4⋊C4—28no—
513C4⋊C4—2924no—
514C4⋊C4—1468no—
515C4⋊C4—1468no—
516C4⋊C4—14616no—
517C4⋊C4—1468no—
518C42—28no—
519C42—28no—
520C42—44no—
521C42—2928no—
522C23C22×C4×D7311yescharacteristic
523C23C22×C22⋊D7311yescharacteristic
524C23C22×D29211yescharacteristic
525C23C2×Q8×D7311yescharacteristic
526C23C2×#1192402711yescharacteristic
527C23C2×#1192402711yescharacteristic
528C23C2×#1192402811yescharacteristic
529C23C2×#1192402811yescharacteristic
530C23C2×#1192402811yescharacteristic
531C23C2×#1192402811yescharacteristic
532C23C2×#1192402911yescharacteristic
533C23#1455663711yescharacteristic
534C23#1455663811yescharacteristic
535C23#1455663811yescharacteristic
536C23#1455663811yescharacteristic
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—2922no—
578C2×C4—2922no—
579C2×C4—2922no—
580C2×C4—2922no—
581C2×C4—2922no—
582C2×C4—2922no—
583C2×C4—2922no—
584C2×C4—2922no—
585C2×C4—2922no—
586C2×C4—2922no—
587C2×C4—2922no—
588C2×C4—2922no—
589C2×C4—2922no—
590C2×C4—2922no—
591C2×C4—2922no—
592C2×C4—2922no—
593C2×C4—2922no—
594C2×C4—2922no—
595C2×C4—2922no—
596C2×C4—1464no—
597C2×C4—1464no—
598C2×C4—1464no—
599C2×C4—1464no—
600C2×C4—1464no—
601C2×C4—1464no—
602C2×C4—1464no—
603C2×C4—1464no—
604C2×C4—1464no—
605C2×C4#1455654914yes—
606C2×C4C4×C22⋊D7314yes—
607C2×C4C4×D29214yes—
608C2×C4#1455655614yes—
609C2×C4#1455656514yes—
610C2×C4#1455656714yes—
611C2×C4#1455657214yes—
612C2×C4#1455658114yes—
613C2×C4#1455658614yes—
614C22C2×#1455654911yescharacteristic
615C22C2×C4×C22⋊D7311yescharacteristic
616C22C2×C4×D29211yescharacteristic
617C22C2×#1455655611yescharacteristic
618C22C4×#1192402811yescharacteristic
619C22#1798906411yescharacteristic
620C22#1798906711yescharacteristic
621C22C2×#1455656511yescharacteristic
622C22C2×#1455656711yescharacteristic
623C22C2×#1455657211yescharacteristic
624C22#1798909811yescharacteristic
625C22C2×#1455658111yescharacteristic
626C22C2×#1455658611yescharacteristic
627C22#1798912111yescharacteristic
628C22#1798913711yescharacteristic
629C22#1798915811yescharacteristic
630C22#1798916511yescharacteristic
631C22#1798919911yescharacteristic
632C22#1798920811yescharacteristic
633C22#1798924111yescharacteristic
634C22#1798924111yescharacteristic
635C22Q8×D29211yescharacteristic
636C22#1798925911yescharacteristic
637C22#1798927711yescharacteristic
638C22#1798927711yescharacteristic
639C22#1798927711yescharacteristic
640C22#1798928311yescharacteristic
641C22#1798929711yescharacteristic
642C22#1798930211yescharacteristic
643C22#1798930711yescharacteristic
644C22#1798931011yescharacteristic
645C22#1798931011yescharacteristic
646C22#1798931011yescharacteristic
647C22#1798931511yescharacteristic
648C22#1798931511yescharacteristic
649C4—24no—
650C4—24no—
651C4—42no—
652C4—42no—
653C4—42no—
654C4—42no—
655C4—2924no—
656C4—2924no—
657C4—2924no—
658C4—5842no—
659C4#1798846818yescomplemented
660C2C2×#1798846811yescharacteristic
661C2C4×#1455656511yescharacteristic
662C2#2261261311yescharacteristic
663C2#2261287811yescharacteristic
664C2#2261289411yescharacteristic
665C2#2261298911yescharacteristic
666C2#2261302511yescharacteristic
667C2#2261422811yescharacteristic
668C2#2261423911yescharacteristic
669C2#2261444711yescharacteristic
670C2#2261446911yescharacteristic
671C2#2261451711yescharacteristic
672C2#2261453911yescharacteristic
673C2#2261484911yescharacteristic
674C2#2261529711yescharacteristic
subgroupG/H
center, FrattiniC24C23×D73
commutatorC23×C73C23×C4
FittingC2×C4×C4⋊C4×C73C2
socle, prime radical, cosocleC24×C73C24
hypercenterC2×C4×C4⋊C4D73
hypocenterC73#14042
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
18. #17988485C4semidirect
317. C4×C73#387semidirect
349. C73#14042semidirect
659. C4#17988468semidirect

Maximal subgroups

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

subgroupindex
C2×#179884852
C2×#179884682
C2×C4×C4⋊Dic732
#226081912
#226081812
#226081612
#226081552
C2×C4×C4⋊C4×C732
#1404273