Finite Group Databasebeta

← #33009803

Subgroups — #33009803

Order 18688.

1566 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14556582C211yesmaximal, characteristic
2C2×#17988486C211yesmaximal, characteristic
3#22608200C212yesmaximal
4#22608185C212yesmaximal
5#22608164C212yesmaximal
6#22608161C212yesmaximal
7#22608161C211yesmaximal, characteristic
8#22608160C211yesmaximal, characteristic
9#22608160C211yesmaximal, characteristic
10C4×#14556498C211yesmaximal, characteristic
11C2×C4×C4⋊C4×C73C211yesmaximal, characteristic
12C2×#14556582—24no—
13C2×#14556582—24no—
14C2×#14556582C418yescomplemented
15C22×C4⋊Dic73C2211yescharacteristic
16C22×C4⋊Dic73C2212yes—
17C22×C4⋊Dic73C2211yescharacteristic
18C22×C4⋊Dic73C2212yes—
19C22×#11924007C2212yes—
20C22×C4×Dic73C2211yescharacteristic
21C22×C4×Dic73C2211yescharacteristic
22#17988486—24no—
23C2×#14556498C2211yescharacteristic
24C2×#14556498C2211yescharacteristic
25C2×#14556498C2211yescharacteristic
26C2×#14556498C2211yescharacteristic
27C2×#14556498C2212yes—
28C2×#14556498C2212yes—
29C2×#14556498C2212yes—
30C2×#14556498C2212yes—
31C2×#14556498C2212yes—
32C2×#14556498C2212yes—
33C2×#14556498C2212yes—
34C22×C4⋊C4×C73C2211yescharacteristic
35C22×C4⋊C4×C73C2211yescharacteristic
36C22×C42×C73C2212yes—
37C22×C42×C73C2211yescharacteristic
38C4×C4⋊C4×C73—24no—
39C2×#95×C73C2212yes—
40C23×Dic73C2312yes—
41C23×Dic73C2311yescharacteristic
42C23×Dic73C2311yescharacteristic
43C23×Dic73C2312yes—
44C23×Dic73C2311yescharacteristic
45C23×Dic73C2311yescharacteristic
46#14556582—232no—
47C2×C4⋊Dic73—24no—
48C2×C4⋊Dic73—24no—
49C2×C4⋊Dic73—22no—
50C2×C4⋊Dic73—24no—
51C2×C4⋊Dic73—22no—
52C2×C4⋊Dic73—24no—
53C2×C4⋊Dic73—22no—
54C2×C4⋊Dic73—22no—
55C2×C4⋊Dic73—22no—
56C2×C4⋊Dic73—42no—
57C2×C4⋊Dic73C2×C418yes—
58C2×C4⋊Dic73C2×C414yes—
59C2×#11924007—24no—
60C2×#11924007—24no—
61C2×#11924007C2×C418yes—
62C2×C4×Dic73—22no—
63C2×C4×Dic73—22no—
64C2×C4×Dic73—22no—
65C2×C4×Dic73—22no—
66C2×C4×Dic73—22no—
67C2×C4×Dic73C2×C414yes—
68#14556498—22no—
69#14556498—24no—
70#14556498—22no—
71#14556498—24no—
72#14556498—22no—
73#14556498—22no—
74#14556498—24no—
75#14556498—42no—
76#14556498—42no—
77#14556498—42no—
78#14556498—42no—
79C23×C4×C73C2312yes—
80C23×C4×C73C2311yescharacteristic
81C23×C4×C73C2312yes—
82C23×C4×C73C2311yescharacteristic
83C23×C4×C73C2311yescharacteristic
84C2×C4⋊C4×C73—22no—
85C2×C4⋊C4×C73—22no—
86C2×C4⋊C4×C73C2×C414yes—
87C2×C4⋊C4×C73D414yes—
88C2×C4⋊C4×C73D414yes—
89C2×C4⋊C4×C73Q814yes—
90C2×C42×C73—22no—
91C2×C42×C73—22no—
92C2×C42×C73—24no—
93C2×C42×C73—24no—
94C2×C42×C73—42no—
95C2×C42×C73Q814yes—
96#95×C73—24no—
97C22×Dic73—21no—
98C22×Dic73—21no—
99C22×Dic73—21no—
100C22×Dic73—21no—
101C22×Dic73—21no—
102C22×Dic73—21no—
103C22×Dic73—22no—
104C22×Dic73—22no—
105C22×Dic73—21no—
106C22×Dic73—21no—
107C22×Dic73—22no—
108C22×Dic73—21no—
109C22×Dic73—21no—
110C22×Dic73—21no—
111C22×Dic73—22no—
112C22×Dic73—21no—
113C22×Dic73—21no—
114C22×Dic73—21no—
115C22×Dic73—21no—
116C22×Dic73—21no—
117C22×Dic73—21no—
118C22×Dic73—21no—
119C22×Dic73—22no—
120C22×Dic73—21no—
121C22×Dic73—21no—
122C22×Dic73—21no—
123C22×Dic73—21no—
124C22×Dic73—21no—
125C22×Dic73—22no—
126C22×Dic73—21no—
127C22×Dic73—22no—
128C22×Dic73—22no—
129C22×Dic73—22no—
130C22×Dic73—22no—
131C22×Dic73—22no—
132C22×Dic73—22no—
133C22×Dic73—22no—
134C22×Dic73C22×C412yes—
135C22×Dic73C22×C412yes—
136C22×Dic73C22×C414yes—
137C22×Dic73#4112yes—
138C22×Dic73#4112yes—
139C4⋊Dic73—216no—
140C4⋊Dic73—28no—
141C4⋊Dic73—48no—
142C4⋊Dic73—44no—
143#11924007—216no—
144C4×Dic73—28no—
145C4×Dic73—44no—
146C24×C73C2411yescharacteristic
147C22×C4×C73—21no—
148C22×C4×C73—22no—
149C22×C4×C73—21no—
150C22×C4×C73—22no—
151C22×C4×C73—21no—
152C22×C4×C73—22no—
153C22×C4×C73—22no—
154C22×C4×C73—21no—
155C22×C4×C73—21no—
156C22×C4×C73—22no—
157C22×C4×C73—22no—
158C22×C4×C73—21no—
159C22×C4×C73—22no—
160C22×C4×C73—21no—
161C22×C4×C73—21no—
162C22×C4×C73—22no—
163C22×C4×C73—22no—
164C22×C4×C73—21no—
165C22×C4×C73—22no—
166C22×C4×C73—21no—
167C22×C4×C73C22×C414yes—
168C22×C4×C73C22×C412yes—
169C22×C4×C73C2×D414yes—
170C22×C4×C73C2×D412yes—
171C22×C4×C73C2×D414yes—
172C22×C4×C73C2×D412yes—
173C22×C4×C73C2×Q812yes—
174C22×C4×C73C2×Q814yes—
175C22×C4×C73C2×Q812yes—
176C22×C4×C73C2×Q812yes—
177C22×C4×C73C2×Q812yes—
178C22×C4×C73#4112yes—
179C22×C4×C73#4112yes—
180C22×C4×C73#4112yes—
181C22×C4×C73#4112yes—
182C4⋊C4×C73—28no—
183C4⋊C4×C73C22⋊C4116yes—
184C42×C73—28no—
185C42×C73—48no—
186C23×C73C23×C411yescharacteristic
187C23×C73C22×D411yescharacteristic
188C23×C73C22×D411yescharacteristic
189C23×C73C22×Q811yescharacteristic
190C23×C73C22×Q811yescharacteristic
191C23×C73C2×#4111yescharacteristic
192C23×C73C2×#4111yescharacteristic
193C23×C73C2×#4111yescharacteristic
194C23×C73C2×#4111yescharacteristic
195C23×C73C2×#4111yescharacteristic
196C23×C73C2×#4111yescharacteristic
197C23×C73H(5,𝔽2)11yescharacteristic
198C23×C73H(5,𝔽2)11yescharacteristic
199C23×C732−1+411yescharacteristic
200C23×C732−1+411yescharacteristic
201C2×C4×C73—24no—
202C2×C4×C73—24no—
203C2×C4×C73—22no—
204C2×C4×C73—22no—
205C2×C4×C73—22no—
206C2×C4×C73—24no—
207C2×C4×C73—24no—
208C2×C4×C73—24no—
209C2×C4×C73—24no—
210C2×C4×C73—22no—
211C2×C4×C73—22no—
212C2×C4×C73—22no—
213C2×C4×C73—22no—
214C2×C4×C73—24no—
215C2×C4×C73—22no—
216C2×C4×C73—22no—
217C2×C4×C73—24no—
218C2×C4×C73—24no—
219C2×C4×C73—42no—
220C2×C4×C73—42no—
221C2×C4×C73—42no—
222C2×C4×C73—41no—
223C2×C4×C73—41no—
224C2×C4×C73—42no—
225C2×C4×C73—41no—
226C2×C4×C73—41no—
227C2×C4×C73C2×C22⋊C418yes—
228C2×C4×C73C2×C22⋊C414yes—
229C2×C4×C73C4×Q814yes—
230C2×C4×C73C4×Q814yes—
231C2×C4×C73C22⋊Q814yes—
232C2×C4×C73C22⋊Q814yes—
233C2×C4×C73#12414yes—
234C2×C4×C73#12514yescomplemented
235C2×C4×C73C4⋊Q814yes—
236C2×Dic73—22no—
237C2×Dic73—22no—
238C2×Dic73—24no—
239C2×Dic73—22no—
240C2×Dic73—22no—
241C2×Dic73—24no—
242C2×Dic73—22no—
243C2×Dic73—22no—
244C2×Dic73—24no—
245C2×Dic73—22no—
246C2×Dic73—22no—
247C2×Dic73—22no—
248C2×Dic73—22no—
249C2×Dic73—22no—
250C2×Dic73—22no—
251C2×Dic73—41no—
252C2×Dic73—41no—
253C2×Dic73—41no—
254C2×Dic73—41no—
255C2×Dic73—41no—
256C2×Dic73—41no—
257C2×Dic73—41no—
258C2×Dic73—41no—
259C2×Dic73—41no—
260C2×Dic73—41no—
261C2×Dic73—42no—
262C2×Dic73—41no—
263C2×Dic73—42no—
264C2×Dic73—41no—
265C2×Dic73—42no—
266C2×Dic73—41no—
267C2×Dic73—42no—
268C2×Dic73—41no—
269C2×Dic73—41no—
270C2×Dic73—41no—
271C2×Dic73—42no—
272C2×Dic73—42no—
273C2×Dic73—42no—
274C2×Dic73—42no—
275C2×Dic73—42no—
276C2×Dic73—42no—
277C2×Dic73—42no—
278C22×C73C22×C22⋊C411yescharacteristic
279C22×C73C2×C4×Q811yescharacteristic
280C22×C73C2×C4×Q811yescharacteristic
281C22×C73C4×#4111yescharacteristic
282C22×C73C4×#4111yescharacteristic
283C22×C73#52011yescharacteristic
284C22×C73#52011yescharacteristic
285C22×C73C2×C22⋊Q811yescharacteristic
286C22×C73C2×C22⋊Q811yescharacteristic
287C22×C73C2×#12411yescharacteristic
288C22×C73C2×#12511yescharacteristic
289C22×C73#52911yescharacteristic
290C22×C73#52911yescharacteristic
291C22×C73C2×C4⋊Q811yescharacteristic
292C22×C73#53311yescharacteristic
293C22×C73#54011yescharacteristic
294C22×C73#54111yescharacteristic
295C22×C73#54411yescharacteristic
296C22×C73#54411yescharacteristic
297C22×C73#54611yescharacteristic
298C22×C73#54611yescharacteristic
299C22×C73#54711yescharacteristic
300C22×C73#54711yescharacteristic
301C22×C73#54811yescharacteristic
302C22×C73#54811yescharacteristic
303C22×C73#55011yescharacteristic
304C22×C73#55011yescharacteristic
305C22×C73#55211yescharacteristic
306C22×C73#55211yescharacteristic
307C22×C73#55311yescharacteristic
308C22×C73#55311yescharacteristic
309C22×C73#55411yescharacteristic
310C22×C73#55411yescharacteristic
311C22×C73#55711yescharacteristic
312C22×C73#55711yescharacteristic
313C4×C73—28no—
314C4×C73—24no—
315C4×C73—42no—
316C4×C73—44no—
317C4×C73#39118yes—
318Dic73—42no—
319Dic73—42no—
320Dic73—44no—
321Dic73—42no—
322Dic73—42no—
323Dic73—82no—
324#14054—731nomaximal, Sylow
325C2×C73C2×#39111yescharacteristic
326C2×C73C4×#12511yescharacteristic
327C2×C73#233011yescharacteristic
328C2×C73#233911yescharacteristic
329C2×C73#234111yescharacteristic
330C2×C73#237011yescharacteristic
331C2×C73#237011yescharacteristic
332C2×C73#244111yescharacteristic
333C2×C73#244211yescharacteristic
334C2×C73#245311yescharacteristic
335C2×C73#245411yescharacteristic
336C2×C73#248911yescharacteristic
337C2×C73#249011yescharacteristic
338C2×C73#255011yescharacteristic
339C2×C73#255211yescharacteristic
340C22×#125—731no—
341C2×#389—731no—
342C2×C4×C4⋊C4D7311yescharacteristic
343#1445—732no—
344#1441—732no—
345#1436—732no—
346C4⋊#95—732no—
347C4⋊#95—731no—
348C4⋊#95—731no—
349C4⋊#95—731no—
350C4×#95—731no—
351C73#1405411yescharacteristic, complemented, Sylow
352C2×#125—738no—
353C2×#125—1464no—
354C2×#125—1464no—
355C22×C4⋊C4—732no—
356C22×C4⋊C4—731no—
357C22×C4⋊C4—732no—
358C22×C4⋊C4—732no—
359C22×C4⋊C4—731no—
360C22×C4⋊C4C2×D7311yescharacteristic
361C22×C4⋊C4C2×D7311yescharacteristic
362C22×C42—731no—
363C22×C42—731no—
364C22×C42C2×D7312yes—
365C22×C42C2×D7311yescharacteristic
366#389—1464no—
367C4×C4⋊C4—24no—
368C2×#95—732no—
369C2×#95—732no—
370C2×#95—732no—
371C2×#95—732no—
372C2×#95—731no—
373C2×#95—731no—
374C2×#95—731no—
375C2×#95—731no—
376C2×#95—732no—
377C2×#95—732no—
378C2×#95—732no—
379C2×#95C2×D7312yes—
380C23×C4—732no—
381C23×C4—731no—
382C23×C4—731no—
383C23×C4—731no—
384C23×C4—731no—
385C23×C4—732no—
386C23×C4C22×D7312yes—
387C23×C4C22×D7311yescharacteristic
388C23×C4C22×D7312yes—
389C23×C4C22×D7311yescharacteristic
390C23×C4C22×D7311yescharacteristic
391#125—14632no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—2922no—
395C2×C4⋊C4—738no—
396C2×C4⋊C4—738no—
397C2×C4⋊C4—734no—
398C2×C4⋊C4—1464no—
399C2×C4⋊C4—1464no—
400C2×C4⋊C4—1462no—
401C2×C4⋊C4—1462no—
402C2×C4⋊C4—1462no—
403C2×C4⋊C4—1464no—
404C2×C4⋊C4—1464no—
405C2×C4⋊C4—1462no—
406C2×C4⋊C4—1464no—
407C2×C4⋊C4—1464no—
408C2×C4⋊C4—1462no—
409C2×C4⋊C4Dic14614yes—
410C2×C4⋊C4C4×D7314yes—
411C2×C4⋊C4D29214yes—
412C2×C4⋊C4C22⋊D7314yes—
413C2×C42—22no—
414C2×C42—22no—
415C2×C42—24no—
416C2×C42—24no—
417C2×C42—42no—
418C2×C42—734no—
419C2×C42—1462no—
420C2×C42—1462no—
421C2×C42—1462no—
422C2×C42—1462no—
423C2×C42—1462no—
424C2×C42Dic14614yes—
425#95—24no—
426#95—2922no—
427#95—2922no—
428#95—2922no—
429#95—2922no—
430#95—1462no—
431#95—1464no—
432#95—1462no—
433#95—1464no—
434#95—1462no—
435#95—1464no—
436#95—1462no—
437C24C23×D7311yescharacteristic
438C22×C4—21no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—21no—
458C22×C4—732no—
459C22×C4—732no—
460C22×C4—734no—
461C22×C4—732no—
462C22×C4—732no—
463C22×C4—1462no—
464C22×C4—1462no—
465C22×C4—1462no—
466C22×C4—1462no—
467C22×C4—1462no—
468C22×C4—1462no—
469C22×C4—1462no—
470C22×C4—1461no—
471C22×C4—1461no—
472C22×C4—1462no—
473C22×C4—1461no—
474C22×C4—1461no—
475C22×C4—1461no—
476C22×C4—1461no—
477C22×C4—1462no—
478C22×C4—1461no—
479C22×C4—1462no—
480C22×C4—1461no—
481C22×C4—1461no—
482C22×C4—1461no—
483C22×C4—1461no—
484C22×C4—1461no—
485C22×C4—1461no—
486C22×C4—1461no—
487C22×C4—1462no—
488C22×C4—1461no—
489C22×C4—1461no—
490C22×C4—1461no—
491C22×C4—1461no—
492C22×C4—1461no—
493C22×C4—1462no—
494C22×C4—1461no—
495C22×C4—1461no—
496C22×C4—1461no—
497C22×C4—1461no—
498C22×C4—1462no—
499C22×C4—1461no—
500C22×C4C2×C4×D7314yes—
501C22×C4C2×C4×D7312yes—
502C22×C4C2×C22⋊D7314yes—
503C22×C4C2×C22⋊D7312yes—
504C22×C4C2×D29214yes—
505C22×C4C2×D29212yes—
506C22×C4C2×Dic14612yes—
507C22×C4C2×Dic14614yes—
508C22×C4C2×Dic14612yes—
509C22×C4C2×Dic14612yes—
510C22×C4C2×Dic14612yes—
511C22×C4#1192402712yes—
512C22×C4#1192402812yes—
513C22×C4#1192402812yes—
514C22×C4#1192402912yes—
515C4⋊C4—28no—
516C4⋊C4—2928no—
517C4⋊C4—2924no—
518C4⋊C4—14616no—
519C4⋊C4—14616no—
520C4⋊C4—1468no—
521C4⋊C4#11924005116yes—
522C42—28no—
523C42—48no—
524C42—2924no—
525C42—1468no—
526C23C22×C4×D7311yescharacteristic
527C23C22×C22⋊D7311yescharacteristic
528C23C22×D29211yescharacteristic
529C23C22×Dic14611yescharacteristic
530C23C22×Dic14611yescharacteristic
531C23#41×D7311yescharacteristic
532C23#41×D7311yescharacteristic
533C23C2×#1192402711yescharacteristic
534C23C2×#1192402811yescharacteristic
535C23C2×#1192402811yescharacteristic
536C23C2×#1192402911yescharacteristic
537C23#1455663611yescharacteristic
538C23#1455663711yescharacteristic
539C23#1455663811yescharacteristic
540C23#1455663911yescharacteristic
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—24no—
546C2×C4—24no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—24no—
551C2×C4—24no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—24no—
556C2×C4—24no—
557C2×C4—22no—
558C2×C4—24no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—41no—
562C2×C4—42no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—42no—
567C2×C4—2921no—
568C2×C4—2921no—
569C2×C4—2921no—
570C2×C4—2921no—
571C2×C4—2921no—
572C2×C4—2921no—
573C2×C4—2921no—
574C2×C4—2921no—
575C2×C4—2922no—
576C2×C4—2921no—
577C2×C4—2922no—
578C2×C4—2921no—
579C2×C4—2922no—
580C2×C4—2921no—
581C2×C4—2921no—
582C2×C4—2922no—
583C2×C4—2921no—
584C2×C4—2921no—
585C2×C4—2921no—
586C2×C4—2921no—
587C2×C4—2922no—
588C2×C4—2922no—
589C2×C4—2922no—
590C2×C4—2922no—
591C2×C4—2922no—
592C2×C4—2922no—
593C2×C4—2922no—
594C2×C4—1462no—
595C2×C4—1462no—
596C2×C4—1462no—
597C2×C4—1462no—
598C2×C4—1462no—
599C2×C4—1462no—
600C2×C4—1462no—
601C2×C4—1464no—
602C2×C4—1462no—
603C2×C4—1462no—
604C2×C4—1464no—
605C2×C4—1462no—
606C2×C4—1462no—
607C2×C4—1464no—
608C2×C4—1462no—
609C2×C4C2×#1192400518yes—
610C2×C4C2×#1192400514yes—
611C2×C4C4×Dic14614yes—
612C2×C4C4×Dic14614yes—
613C2×C4#1455657014yes—
614C2×C4#1455657014yes—
615C2×C4#1455657914yes—
616C2×C4#1455658214yescomplemented
617C2×C4#1455659114yes—
618C22C22×#1192400511yescharacteristic
619C22C2×C4×Dic14611yescharacteristic
620C22C2×C4×Dic14611yescharacteristic
621C22C4×#1192402711yescharacteristic
622C22C4×#1192402911yescharacteristic
623C22#1798906611yescharacteristic
624C22#1798906911yescharacteristic
625C22C2×#1455657011yescharacteristic
626C22C2×#1455657011yescharacteristic
627C22C2×#1455657911yescharacteristic
628C22C2×#1455658211yescharacteristic
629C22#1798911911yescharacteristic
630C22#1798912411yescharacteristic
631C22C2×#1455659111yescharacteristic
632C22#1798914011yescharacteristic
633C22#1798918811yescharacteristic
634C22#1798919511yescharacteristic
635C22#1798921511yescharacteristic
636C22#1798921811yescharacteristic
637C22#1798923111yescharacteristic
638C22#1798923211yescharacteristic
639C22#1798923611yescharacteristic
640C22#1798924111yescharacteristic
641C22#1798924811yescharacteristic
642C22#1798924911yescharacteristic
643C22#1798925611yescharacteristic
644C22#1798925911yescharacteristic
645C22#1798927211yescharacteristic
646C22#1798927611yescharacteristic
647C22#1798928111yescharacteristic
648C22#1798928511yescharacteristic
649C22#1798929411yescharacteristic
650C22#1798929611yescharacteristic
651C22#1798931311yescharacteristic
652C22#1798931611yescharacteristic
653C4—28no—
654C4—24no—
655C4—44no—
656C4—42no—
657C4—2922no—
658C4—2922no—
659C4—2922no—
660C4—2924no—
661C4—2922no—
662C4—5842no—
663C4#1798849318yes—
664C2C2×#1798849311yescharacteristic
665C2C4×#1455658211yescharacteristic
666C2#2261266811yescharacteristic
667C2#2261275611yescharacteristic
668C2#2261276911yescharacteristic
669C2#2261302311yescharacteristic
670C2#2261302911yescharacteristic
671C2#2261363811yescharacteristic
672C2#2261364911yescharacteristic
673C2#2261378611yescharacteristic
674C2#2261379711yescharacteristic
675C2#2261426611yescharacteristic
676C2#2261427711yescharacteristic
677C2#2261494611yescharacteristic
678C2#2261496211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D73
commutatorC23×C73C23×C4
FittingC2×C4×C4⋊C4×C73C2
socle, prime radical, cosocleC24×C73C24
hypercenterC2×C4×C4⋊C4D73
hypocenterC73#14054
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
14. C2×#14556582C4semidirect
234. C2×C4×C73#125semidirect
351. C73#14054semidirect
616. C2×C4#14556582semidirect

Maximal subgroups

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

subgroupindex
C22×#145565822
C2×#179884862
#226082002
#226081852
#226081642
#226081612
#226081602
C4×#145564982
C2×C4×C4⋊C4×C732
#1405473