Finite Group Databasebeta

← #33009688

Subgroups — #33009688

Order 18688.

2366 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988482C212yesmaximal, complemented
2C2×#17988460C211yesmaximal, characteristic
3C2×#17988460C211yesmaximal, characteristic
4C2×#17988460C211yesmaximal, characteristic
5C2×C4×C22⋊Dic73C211yesmaximal, characteristic
6#22608194C212yesmaximal, complemented
7#22608181C212yesmaximal, complemented
8#22608163C212yesmaximal, complemented
9#22608154C211yesmaximal, characteristic
10#22608154C211yesmaximal, characteristic
11C23×C4⋊C4×C73C211yesmaximal, characteristic
12C22×#11924007C2211yescharacteristic
13C22×#11924007C2212yes—
14C22×#11924007C2212yes—
15C22×#11924007C2211yescharacteristic
16C22×C22⋊Dic73C2211yescharacteristic
17C22×C22⋊Dic73C2211yescharacteristic
18C22×C22⋊Dic73C2211yescharacteristic
19C22×C22⋊Dic73C2211yescharacteristic
20C22×C4×Dic73C2212yes—
21#17988482—28no—
22#17988460—24no—
23#17988460—24no—
24#17988460C418yescomplemented
25C4×C22⋊Dic73—24no—
26C2×#14556498C2212yes—
27C2×#14556498C2212yes—
28C2×#14556498C2212yes—
29C2×#14556498C2211yescharacteristic
30C2×#14556498C2212yes—
31C2×#14556498C2212yes—
32C2×#14556498C2211yescharacteristic
33C2×#14556498C2212yes—
34C2×#14556498C2212yes—
35C24×C4×C73C2211yescharacteristic
36C24×C4×C73C2211yescharacteristic
37C24×C4×C73C2211yescharacteristic
38C22×C4⋊C4×C73—24no—
39C22×C4⋊C4×C73—28no—
40C22×C4⋊C4×C73C2212yes—
41C22×C4⋊C4×C73C2212yes—
42C23×Dic73C2311yescharacteristic
43C23×Dic73C2311yescharacteristic
44C23×Dic73C2311yescharacteristic
45C23×Dic73C2311yescharacteristic
46C23×Dic73C2312yes—
47C23×Dic73C2312yes—
48C2×#11924007—24no—
49C2×#11924007—24no—
50C2×#11924007—22no—
51C2×#11924007—22no—
52C2×#11924007—24no—
53C2×#11924007—24no—
54C2×#11924007—24no—
55C2×#11924007—42no—
56C2×#11924007—42no—
57C2×#11924007C2×C418yescomplemented
58C2×C22⋊Dic73—22no—
59C2×C22⋊Dic73—22no—
60C2×C22⋊Dic73—22no—
61C2×C22⋊Dic73—22no—
62C2×C22⋊Dic73—22no—
63C2×C22⋊Dic73—22no—
64C2×C22⋊Dic73—22no—
65C2×C22⋊Dic73C2×C414yes—
66C2×C22⋊Dic73C2×C414yes—
67C2×C22⋊Dic73D414yes—
68C2×C22⋊Dic73Q814yes—
69C2×C22⋊Dic73Q814yes—
70C2×C4×Dic73—24no—
71C2×C4×Dic73—24no—
72C2×C4×Dic73—42no—
73#14556498—24no—
74#14556498—24no—
75#14556498—22no—
76#14556498—22no—
77#14556498—24no—
78#14556498—24no—
79#14556498—24no—
80#14556498—42no—
81#14556498C2×C418yescomplemented
82C25×C73C2311yescharacteristic
83C23×C4×C73—22no—
84C23×C4×C73—22no—
85C23×C4×C73—24no—
86C23×C4×C73—24no—
87C23×C4×C73—22no—
88C23×C4×C73—22no—
89C23×C4×C73—22no—
90C23×C4×C73—24no—
91C23×C4×C73—24no—
92C23×C4×C73—22no—
93C23×C4×C73—22no—
94C23×C4×C73—42no—
95C23×C4×C73—42no—
96C23×C4×C73C2×C414yes—
97C23×C4×C73D414yes—
98C23×C4×C73C2311yescharacteristic
99C23×C4×C73C2312yes—
100C23×C4×C73C2312yes—
101C23×C4×C73C2311yescharacteristic
102C2×C4⋊C4×C73—232no—
103C2×C4⋊C4×C73—24no—
104C2×C4⋊C4×C73—24no—
105C2×C4⋊C4×C73—24no—
106C2×C4⋊C4×C73—24no—
107C2×C4⋊C4×C73—24no—
108C2×C4⋊C4×C73D418yes—
109C22×Dic73—22no—
110C22×Dic73—22no—
111C22×Dic73—22no—
112C22×Dic73—22no—
113C22×Dic73—22no—
114C22×Dic73—22no—
115C22×Dic73—21no—
116C22×Dic73—21no—
117C22×Dic73—22no—
118C22×Dic73—22no—
119C22×Dic73—21no—
120C22×Dic73—21no—
121C22×Dic73—22no—
122C22×Dic73—22no—
123C22×Dic73—22no—
124C22×Dic73—22no—
125C22×Dic73—22no—
126C22×Dic73—22no—
127C22×Dic73—21no—
128C22×Dic73—21no—
129C22×Dic73—22no—
130C22×Dic73—21no—
131C22×Dic73—21no—
132C22×Dic73—22no—
133C22×Dic73—21no—
134C22×Dic73—21no—
135C22×Dic73—22no—
136C22×Dic73—22no—
137C22×Dic73C22×C412yes—
138C22×Dic73C22×C412yes—
139C22×Dic73C22×C414yes—
140C22×Dic73C2×D414yes—
141C22×Dic73C2×Q814yes—
142C22×Dic73C2×Q814yes—
143#11924007—216no—
144#11924007—48no—
145#11924007—44no—
146#11924007—44no—
147C22⋊Dic73—28no—
148C22⋊Dic73—28no—
149C22⋊Dic73—44no—
150C22⋊Dic73C4⋊C4116yescomplemented
151C4×Dic73—48no—
152C24×C73—22no—
153C24×C73—22no—
154C24×C73—22no—
155C24×C73—22no—
156C24×C73C22×C412yes—
157C24×C73C2×D412yes—
158C24×C73C2×D412yes—
159C24×C73C2×Q812yes—
160C24×C73C2×Q812yes—
161C24×C73#4112yes—
162C24×C73#4112yes—
163C24×C73C2411yescharacteristic
164C22×C4×C73—28no—
165C22×C4×C73—216no—
166C22×C4×C73—28no—
167C22×C4×C73—28no—
168C22×C4×C73—22no—
169C22×C4×C73—22no—
170C22×C4×C73—21no—
171C22×C4×C73—21no—
172C22×C4×C73—22no—
173C22×C4×C73—22no—
174C22×C4×C73—22no—
175C22×C4×C73—216no—
176C22×C4×C73—28no—
177C22×C4×C73—28no—
178C22×C4×C73—22no—
179C22×C4×C73—22no—
180C22×C4×C73—22no—
181C22×C4×C73—21no—
182C22×C4×C73—22no—
183C22×C4×C73—21no—
184C22×C4×C73—22no—
185C22×C4×C73—22no—
186C22×C4×C73—22no—
187C22×C4×C73—22no—
188C22×C4×C73—28no—
189C22×C4×C73—44no—
190C22×C4×C73—48no—
191C22×C4×C73—48no—
192C22×C4×C73—48no—
193C22×C4×C73—48no—
194C22×C4×C73—44no—
195C22×C4×C73—44no—
196C22×C4×C73C22×C414yes—
197C22×C4×C73C2×D412yes—
198C22×C4×C73C2×D414yes—
199C22×C4×C73C2×D414yes—
200C22×C4×C73C2×D412yes—
201C22×C4×C73C2×D414yes—
202C22×C4×C73#4114yes—
203C4⋊C4×C73—216no—
204C4⋊C4×C73—216no—
205C23×C73—24no—
206C23×C73—24no—
207C23×C73—22no—
208C23×C73—22no—
209C23×C73—24no—
210C23×C73—22no—
211C23×C73—22no—
212C23×C73—24no—
213C23×C73—24no—
214C23×C73—24no—
215C23×C73—24no—
216C23×C73—24no—
217C23×C73—24no—
218C23×C73—24no—
219C23×C73—24no—
220C23×C73—24no—
221C23×C73C2×C4⋊C414yes—
222C23×C73C4×D414yes—
223C23×C73C4×Q814yes—
224C23×C73#12114yes—
225C23×C73C22⋊Q814yes—
226C23×C73#12514yes—
227C23×C73C4⋊Q814yes—
228C23×C73C23×C411yescharacteristic
229C23×C73C22×D411yescharacteristic
230C23×C73C22×D411yescharacteristic
231C23×C73C22×D412yes—
232C23×C73C22×Q811yescharacteristic
233C23×C73C22×Q811yescharacteristic
234C23×C73C2×#4111yescharacteristic
235C23×C73C2×#4111yescharacteristic
236C23×C73C2×#4112yes—
237C23×C73H(5,𝔽2)12yes—
238C23×C732−1+412yes—
239C2×C4×C73—232no—
240C2×C4×C73—24no—
241C2×C4×C73—24no—
242C2×C4×C73—24no—
243C2×C4×C73—22no—
244C2×C4×C73—24no—
245C2×C4×C73—24no—
246C2×C4×C73—24no—
247C2×C4×C73—22no—
248C2×C4×C73—24no—
249C2×C4×C73—24no—
250C2×C4×C73—22no—
251C2×C4×C73—24no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—24no—
255C2×C4×C73—24no—
256C2×C4×C73—416no—
257C2×C4×C73—416no—
258C2×C4×C73—42no—
259C2×C4×C73—42no—
260C2×C4×C73—42no—
261C2×C4×C73—42no—
262C2×C4×C73—42no—
263C2×C4×C73—42no—
264C2×C4×C73C4×D418yes—
265C2×C4×C73#12014yes—
266C2×Dic73—24no—
267C2×Dic73—24no—
268C2×Dic73—24no—
269C2×Dic73—24no—
270C2×Dic73—24no—
271C2×Dic73—24no—
272C2×Dic73—22no—
273C2×Dic73—22no—
274C2×Dic73—24no—
275C2×Dic73—24no—
276C2×Dic73—24no—
277C2×Dic73—24no—
278C2×Dic73—24no—
279C2×Dic73—41no—
280C2×Dic73—42no—
281C2×Dic73—41no—
282C2×Dic73—42no—
283C2×Dic73—41no—
284C2×Dic73—41no—
285C2×Dic73—42no—
286C2×Dic73—42no—
287C2×Dic73—42no—
288C2×Dic73—42no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73—41no—
295C2×Dic73—42no—
296C2×Dic73—42no—
297C2×Dic73—42no—
298C2×Dic73—42no—
299C2×Dic73C2×C4⋊C418yescomplemented
300C22×C73—24no—
301C22×C73—24no—
302C22×C73—28no—
303C22×C73—28no—
304C22×C73—24no—
305C22×C73—24no—
306C22×C73—24no—
307C22×C73—28no—
308C22×C73—28no—
309C22×C73—24no—
310C22×C73#38918yescomplemented
311C22×C73C22×C4⋊C411yescharacteristic
312C22×C73C2×C4×D411yescharacteristic
313C22×C73C2×C4×D412yes—
314C22×C73C2×C4×Q811yescharacteristic
315C22×C73#52012yes—
316C22×C73C2×#12011yescharacteristic
317C22×C73C2×#12111yescharacteristic
318C22×C73C2×C22⋊Q811yescharacteristic
319C22×C73#52511yescharacteristic
320C22×C73#52512yes—
321C22×C73C2×#12511yescharacteristic
322C22×C73C2×C4⋊Q811yescharacteristic
323C22×C73#53411yescharacteristic
324C22×C73#53611yescharacteristic
325C22×C73#53912yes—
326C22×C73D4212yes—
327C22×C73#54612yes—
328C22×C73#54712yes—
329C22×C73D4×Q812yes—
330C22×C73D4×Q812yes—
331C22×C73#55212yes—
332C22×C73#55412yes—
333C22×C73#55412yes—
334C4×C73—24no—
335C4×C73—28no—
336C4×C73—42no—
337C4×C73—44no—
338Dic73—28no—
339Dic73—42no—
340Dic73—44no—
341Dic73—42no—
342Dic73—81no—
343Dic73—81no—
344#14043—731nomaximal, Sylow
345C2×C73—28no—
346C2×C73C2×#38911yescharacteristic
347C2×C73C4×#12011yescharacteristic
348C2×C73#232211yescharacteristic
349C2×C73D4×C4⋊C412yes—
350C2×C73#236012yes—
351C2×C73#241011yescharacteristic
352C2×C73#241311yescharacteristic
353C2×C73#243411yescharacteristic
354C2×C73#244912yes—
355C2×C73#247312yes—
356C2×C73#258311yescharacteristic
357C23×C4⋊C4D7311yescharacteristic
358C2×#389—732no—
359C2×#385—731no—
360C2×#385—731no—
361C2×#385—731no—
362C2×C4×C22⋊C4—731no—
363#1444—732no—
364#1441—732no—
365#1436—732no—
366C22⋊#95—731no—
367C22⋊#95—731no—
368C73#1404311yescharacteristic, complemented, Sylow
369C24×C4C2×D7311yescharacteristic
370C24×C4C2×D7311yescharacteristic
371C24×C4C2×D7311yescharacteristic
372C22×C4⋊C4—24no—
373C22×C4⋊C4—28no—
374C22×C4⋊C4—731no—
375C22×C4⋊C4—732no—
376C22×C4⋊C4—732no—
377C22×C4⋊C4—731no—
378C22×C4⋊C4C2×D7312yes—
379C22×C4⋊C4C2×D7312yes—
380C22×C22⋊C4—731no—
381C22×C22⋊C4—731no—
382C22×C22⋊C4—731no—
383C22×C22⋊C4—731no—
384C22×C42—732no—
385#389—1468no—
386#385—738no—
387#385—1464no—
388#385—1464no—
389C4×C22⋊C4—1464no—
390C2×#95—732no—
391C2×#95—732no—
392C2×#95—732no—
393C2×#95—732no—
394C2×#95—732no—
395C2×#95—731no—
396C2×#95—732no—
397C2×#95—731no—
398C2×#95—732no—
399C25C22×D7311yescharacteristic
400C23×C4—22no—
401C23×C4—22no—
402C23×C4—24no—
403C23×C4—24no—
404C23×C4—22no—
405C23×C4—22no—
406C23×C4—22no—
407C23×C4—24no—
408C23×C4—24no—
409C23×C4—22no—
410C23×C4—22no—
411C23×C4—42no—
412C23×C4—42no—
413C23×C4—732no—
414C23×C4—731no—
415C23×C4—731no—
416C23×C4—732no—
417C23×C4—731no—
418C23×C4—731no—
419C23×C4C4×D7314yes—
420C23×C4C22⋊D7314yes—
421C23×C4C22×D7311yescharacteristic
422C23×C4C22×D7312yes—
423C23×C4C22×D7312yes—
424C23×C4C22×D7311yescharacteristic
425C2×C4⋊C4—232no—
426C2×C4⋊C4—24no—
427C2×C4⋊C4—24no—
428C2×C4⋊C4—24no—
429C2×C4⋊C4—24no—
430C2×C4⋊C4—24no—
431C2×C4⋊C4—2922no—
432C2×C4⋊C4—2922no—
433C2×C4⋊C4—738no—
434C2×C4⋊C4—1464no—
435C2×C4⋊C4—1462no—
436C2×C4⋊C4—1462no—
437C2×C4⋊C4—1464no—
438C2×C4⋊C4—1464no—
439C2×C4⋊C4—1464no—
440C2×C4⋊C4—1464no—
441C2×C4⋊C4C22⋊D7318yes—
442C2×C22⋊C4—734no—
443C2×C22⋊C4—734no—
444C2×C22⋊C4—734no—
445C2×C22⋊C4—734no—
446C2×C22⋊C4—734no—
447C2×C22⋊C4—1462no—
448C2×C22⋊C4—1462no—
449C2×C22⋊C4—1462no—
450C2×C22⋊C4—1462no—
451C2×C22⋊C4—1462no—
452C2×C22⋊C4—1462no—
453C2×C22⋊C4—1462no—
454C2×C42—2922no—
455C2×C42—1464no—
456C2×C42—1464no—
457#95—2922no—
458#95—738no—
459#95—1464no—
460#95—1464no—
461#95—1462no—
462#95—1462no—
463#95—1464no—
464#95—1464no—
465#95—1464no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24C2×C4×D7312yes—
471C24D4×D7312yes—
472C24C2×C22⋊D7312yes—
473C24Q8×D7312yes—
474C24Q8×D7312yes—
475C24#1192402712yes—
476C24#1192402812yes—
477C24C23×D7311yescharacteristic
478C22×C4—28no—
479C22×C4—216no—
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—216no—
490C22×C4—28no—
491C22×C4—28no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—28no—
503C22×C4—44no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—734no—
511C22×C4—734no—
512C22×C4—734no—
513C22×C4—732no—
514C22×C4—732no—
515C22×C4—734no—
516C22×C4—1461no—
517C22×C4—1461no—
518C22×C4—1461no—
519C22×C4—1462no—
520C22×C4—1461no—
521C22×C4—1461no—
522C22×C4—1461no—
523C22×C4—1462no—
524C22×C4—1462no—
525C22×C4—1462no—
526C22×C4—1462no—
527C22×C4—1462no—
528C22×C4—1461no—
529C22×C4—1461no—
530C22×C4—1462no—
531C22×C4—1462no—
532C22×C4—1461no—
533C22×C4—1462no—
534C22×C4—1461no—
535C22×C4—1462no—
536C22×C4—1462no—
537C22×C4—1462no—
538C22×C4—1462no—
539C22×C4—1462no—
540C22×C4—1462no—
541C22×C4—1462no—
542C22×C4—1462no—
543C22×C4—1462no—
544C22×C4C2×C4×D7314yes—
545C22×C4C2×C22⋊D7312yes—
546C22×C4C2×C22⋊D7314yes—
547C22×C4C2×C22⋊D7314yes—
548C22×C4C2×C22⋊D7312yes—
549C22×C4C2×C22⋊D7314yes—
550C22×C4#1192402814yes—
551C4⋊C4—216no—
552C4⋊C4—216no—
553C4⋊C4—2924no—
554C4⋊C4—2928no—
555C4⋊C4—2924no—
556C4⋊C4—14616no—
557C22⋊C4—2924no—
558C22⋊C4—7316no—
559C22⋊C4—1468no—
560C22⋊C4—1468no—
561C42—2928no—
562C23—22no—
563C23—22no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23C4⋊C4×D7314yes—
579C23C4×C22⋊D7314yes—
580C23#1455655614yes—
581C23#1455656314yes—
582C23#1455656914yes—
583C23#1455658114yes—
584C23#1455658914yes—
585C23C22×C4×D7311yescharacteristic
586C23C2×D4×D7311yescharacteristic
587C23C22×C22⋊D7311yescharacteristic
588C23C22×C22⋊D7312yes—
589C23C2×Q8×D7311yescharacteristic
590C23C2×Q8×D7311yescharacteristic
591C23C2×#1192402711yescharacteristic
592C23C2×#1192402811yescharacteristic
593C23C2×#1192402812yes—
594C23#1455663612yes—
595C23#1455663912yes—
596C2×C4—232no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—416no—
614C2×C4—416no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—2921no—
622C2×C4—2921no—
623C2×C4—2922no—
624C2×C4—2922no—
625C2×C4—2922no—
626C2×C4—2922no—
627C2×C4—2921no—
628C2×C4—2921no—
629C2×C4—2922no—
630C2×C4—2922no—
631C2×C4—2921no—
632C2×C4—2921no—
633C2×C4—2922no—
634C2×C4—2922no—
635C2×C4—2922no—
636C2×C4—2922no—
637C2×C4—2921no—
638C2×C4—2921no—
639C2×C4—2921no—
640C2×C4—2921no—
641C2×C4—738no—
642C2×C4—1464no—
643C2×C4—1464no—
644C2×C4—1462no—
645C2×C4—1462no—
646C2×C4—1464no—
647C2×C4—1464no—
648C2×C4—1464no—
649C2×C4—1464no—
650C2×C4—1464no—
651C2×C4—1464no—
652C2×C4—1464no—
653C2×C4—1464no—
654C2×C4—1464no—
655C2×C4C4×C22⋊D7318yes—
656C2×C4#1455656014yes—
657C22—24no—
658C22—28no—
659C22—24no—
660C22—24no—
661C22—24no—
662C22—28no—
663C22—24no—
664C22—28no—
665C22—24no—
666C22—28no—
667C22#1798848218yescomplemented
668C22C2×C4⋊C4×D7311yescharacteristic
669C22C2×C4×C22⋊D7312yes—
670C22C2×C4×C22⋊D7311yescharacteristic
671C22C2×#1455655611yescharacteristic
672C22#1798906812yes—
673C22C2×#1455656011yescharacteristic
674C22C2×#1455656311yescharacteristic
675C22C2×#1455656911yescharacteristic
676C22#1798909811yescharacteristic
677C22#1798909812yes—
678C22C2×#1455658111yescharacteristic
679C22C2×#1455658911yescharacteristic
680C22#1798914611yescharacteristic
681C22#1798916111yescharacteristic
682C22#1798918412yes—
683C22D4×C22⋊D7312yes—
684C22#1798923112yes—
685C22#1798923812yes—
686C22Q8×C22⋊D7312yes—
687C22Q8×C22⋊D7312yes—
688C22#1798927212yes—
689C22#1798929212yes—
690C22#1798929212yes—
691C4—24no—
692C4—28no—
693C4—42no—
694C4—44no—
695C4—2922no—
696C4—2922no—
697C4—2924no—
698C4—5841no—
699C4—5841no—
700C4—1468no—
701C2—28no—
702C2C2×#1798848211yescharacteristic
703C2C4×#1455656011yescharacteristic
704C2#2261260011yescharacteristic
705C2C4⋊C4×C22⋊D7312yes—
706C2#2261293612yes—
707C2#2261330511yescharacteristic
708C2#2261333811yescharacteristic
709C2#2261357111yescharacteristic
710C2#2261374012yes—
711C2#2261406612yes—
712C2#2261531111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D73
commutatorC23×C73C23×C4
FittingC23×C4⋊C4×C73C2
socle, cosocleC24×C73C24
prime radicalC25×C73C23
hypercenterC23×C4⋊C4D73
hypocenterC73#14043
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#17988482C2semidirect
6. #22608194C2semidirect
7. #22608181C2semidirect
8. #22608163C2semidirect
24. #17988460C4semidirect
57. C2×#11924007C2×C4semidirect
81. #14556498C2×C4semidirect
150. C22⋊Dic73C4⋊C4semidirect
299. C2×Dic73C2×C4⋊C4semidirect
310. C22×C73#389semidirect
368. C73#14043semidirect
667. C22#17988482semidirect

Maximal subgroups

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

subgroupindex
C2×#179884822
C2×#179884602
C2×C4×C22⋊Dic732
#226081942
#226081812
#226081632
#226081542
C23×C4⋊C4×C732
#1404373