Finite Group Databasebeta

← #33108592

Subgroups — #33108592

Order 18688.

994 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×SD16×Dic73C211yesmaximal, characteristic, complemented
2C2×#17988625C211yesmaximal, characteristic, complemented
3#22612973C211yesmaximal, characteristic
4#22612962C211yesmaximal, characteristic, complemented
5#22610787C211yesmaximal, characteristic, complemented
6#22610660C211yesmaximal, characteristic, complemented
7#22610574C211yesmaximal, characteristic, complemented
8#22610553C211yesmaximal, characteristic, complemented
9#22610254C211yesmaximal, characteristic
10#22610244C211yesmaximal, characteristic, complemented
11#22610187C211yesmaximal, characteristic, complemented
12#22610180C211yesmaximal, characteristic, complemented
13#106×Dic73C211yesmaximal, characteristic, complemented
14C8×C22⋊Dic73C211yesmaximal, characteristic, complemented
15C2×#465×C73C211yesmaximal, characteristic
16C2×Q8×Dic73C2211yescharacteristic
17C2×D4×Dic73C2211yescharacteristic
18C2×#14556550C2211yescharacteristic
19C2×#14556550C2211yescharacteristic
20SD16×Dic73—24no—
21#17988625—24no—
22C2×#14556525C2211yescharacteristic
23C2×#14556525C2211yescharacteristic
24C2×#14556523C2211yescharacteristic
25C2×#14556523C2211yescharacteristic
26C2×#14556515C2211yescharacteristic
27C2×#14556515C2211yescharacteristic
28C2×#14556512C2211yescharacteristic
29C2×#14556512C2211yescharacteristic
30C2×C22⋊#10596831C2211yescharacteristic
31C2×C8×Dic73C2211yescharacteristic
32C2×C8×Dic73C2211yescharacteristic
33#17988494C2211yescharacteristic
34#17988490—21no—
35#17988490C2211yescharacteristic
36#17988486C2211yescharacteristic
37#17988486C2211yescharacteristic
38#17988480—21no—
39#17988480—21no—
40#17988480—21no—
41#17988473—21no—
42#17988467—21no—
43C4⋊C4×Dic73—21no—
44C4⋊C4×Dic73C2211yescharacteristic
45C4⋊C4×Dic73C2211yescharacteristic
46C22⋊C4×Dic73—21no—
47C4×C22⋊Dic73C2211yescharacteristic
48#17988349C2211yescharacteristic
49#17988349C2211yescharacteristic
50#17988349C2211yescharacteristic
51#17988349C2211yescharacteristic
52#17988341C2211yescharacteristic
53#17988341C2211yescharacteristic
54C22×SD16×C73C2211yescharacteristic
55C23×C8×C73C2211yescharacteristic
56C2×C22⋊Q8×C73C2211yescharacteristic
57C2×#121×C73C2211yescharacteristic
58#465×C73C418yescomplemented
59C2×#106×C73C2211yescharacteristic
60C2×#103×C73C2211yescharacteristic
61C2×#102×C73C2211yescharacteristic
62C23×Dic73—21no—
63C22×#10596831C2311yescharacteristic
64C22×#10596831C2311yescharacteristic
65Q8×Dic73—22no—
66Q8×Dic73—41no—
67D4×Dic73—22no—
68D4×Dic73—41no—
69#14556550—22no—
70#14556550—22no—
71#14556550—41no—
72#14556550—41no—
73C2×C4⋊Dic73—21no—
74C2×C4⋊Dic73—21no—
75C2×C4⋊Dic73—21no—
76C2×C4⋊Dic73C2311yescharacteristic
77C2×C4⋊Dic73C2311yescharacteristic
78C2×C4⋊Dic73C2311yescharacteristic
79C2×C4⋊Dic73C2311yescharacteristic
80C2×C22⋊Dic73—21no—
81C2×C22⋊Dic73—21no—
82C2×C22⋊Dic73—21no—
83C2×C22⋊Dic73—21no—
84C2×C22⋊Dic73—21no—
85C2×C22⋊Dic73D411yescharacteristic
86C2×C22⋊Dic73D411yescharacteristic
87C2×C4×Dic73—21no—
88C2×C4×Dic73—21no—
89C2×C4×Dic73—21no—
90C2×C4×Dic73—21no—
91C2×C4×Dic73—21no—
92C2×C4×Dic73C2311yescharacteristic
93C2×C4×Dic73C2311yescharacteristic
94#14556525—22no—
95#14556525—22no—
96#14556523—22no—
97#14556523D414yescomplemented
98#14556515—22no—
99#14556515—41no—
100#14556512—22no—
101#14556512—41no—
102C22⋊#10596831—22no—
103C8×Dic73—22no—
104C8×Dic73—22no—
105#14556498—21no—
106#14556498—21no—
107#14556498—21no—
108#14556498—21no—
109#14556498—21no—
110#14556498—21no—
111#14556498D411yescharacteristic
112#14556498D411yescharacteristic
113C22×Q8×C73C2311yescharacteristic
114C22×D4×C73—21no—
115C22×D4×C73C2311yescharacteristic
116C23×C4×C73C2311yescharacteristic
117C2×SD16×C73—22no—
118C2×SD16×C73—22no—
119C2×SD16×C73C2×C414yes—
120C22×C8×C73—22no—
121C22×C8×C73—22no—
122C22×C8×C73C2×C414yescomplemented
123C22×C8×C73C2311yescharacteristic
124C22×C8×C73C2311yescharacteristic
125C22⋊Q8×C73—22no—
126C22⋊Q8×C73C2×C414yescomplemented
127#121×C73—22no—
128#121×C73C2×C414yes—
129C2×C4⋊C4×C73—21no—
130C2×C4⋊C4×C73C2311yescharacteristic
131C2×C4⋊C4×C73C2311yescharacteristic
132C2×C22⋊C4×C73—21no—
133C2×C22⋊C4×C73—21no—
134#106×C73C2×C414yescomplemented
135#103×C73C2×C414yescomplemented
136#102×C73C2×C414yes—
137C22×Dic73—21no—
138C22×Dic73—21no—
139C22×Dic73—21no—
140C22×Dic73—21no—
141C22×Dic73—42no—
142C22×Dic73—42no—
143C22×Dic73—81no—
144C22×Dic73C2×D411yescharacteristic
145C22×Dic73C2×D411yescharacteristic
146C22×Dic73C2×D411yescharacteristic
147C22×Dic73C2×D411yescharacteristic
148C2×#10596831—21no—
149C2×#10596831—21no—
150C2×#10596831—21no—
151C2×#10596831—21no—
152C2×#10596831—21no—
153C2×#10596831—21no—
154C4⋊Dic73—21no—
155C4⋊Dic73—21no—
156C4⋊Dic73—21no—
157C4⋊Dic73—21no—
158C4⋊Dic73—21no—
159C4⋊Dic73—21no—
160C4⋊Dic73—42no—
161C4⋊Dic73—42no—
162C4⋊Dic73—81no—
163C4⋊Dic73C2×D412yes—
164C4⋊Dic73C2×D412yes—
165C22⋊Dic73—22no—
166C22⋊Dic73—22no—
167C22⋊Dic73—42no—
168C22⋊Dic73—42no—
169C22⋊Dic73—42no—
170C22⋊Dic73—42no—
171C22⋊Dic73—81no—
172C4×Dic73—21no—
173C4×Dic73—21no—
174C4×Dic73—21no—
175C4×Dic73—21no—
176C4×Dic73—42no—
177C4×Dic73—42no—
178C4×Dic73—42no—
179C4×Dic73—42no—
180C4×Dic73—81no—
181C24×C73—21no—
182C24×C73C2×D411yescharacteristic
183C2×Q8×C73—21no—
184C2×Q8×C73—21no—
185C2×Q8×C73—21no—
186C2×Q8×C73—21no—
187C2×Q8×C73—21no—
188C2×Q8×C73C22×C412yes—
189C2×D4×C73—24no—
190C2×D4×C73—21no—
191C2×D4×C73—21no—
192C2×D4×C73—21no—
193C2×D4×C73—21no—
194C2×D4×C73—21no—
195C2×D4×C73—81no—
196C2×D4×C73—81no—
197C2×D4×C73C22×C412yes—
198C22×C4×C73—21no—
199C22×C4×C73—21no—
200C22×C4×C73—21no—
201C22×C4×C73—21no—
202C22×C4×C73—21no—
203C22×C4×C73—21no—
204C22×C4×C73—21no—
205C22×C4×C73C22×C412yes—
206C22×C4×C73C2×D411yescharacteristic
207C22×C4×C73#4112yes—
208C22×C4×C73C2411yescharacteristic
209SD16×C73—28no—
210C2×C8×C73—21no—
211C2×C8×C73—21no—
212C2×C8×C73—28no—
213C2×C8×C73C22×C412yes—
214C2×C8×C73C22×C412yes—
215C2×C8×C73C2×D412yes—
216C2×C8×C73#4112yes—
217C4⋊C4×C73—24no—
218C4⋊C4×C73—21no—
219C4⋊C4×C73—21no—
220C4⋊C4×C73C22×C412yes—
221C4⋊C4×C73C22×C412yes—
222C22⋊C4×C73—24no—
223C22⋊C4×C73—24no—
224C23×C73—21no—
225C23×C73—21no—
226C23×C73—21no—
227C23×C73—21no—
228C23×C73—21no—
229C23×C73—21no—
230C23×C73—22no—
231C23×C73—41no—
232C23×C73—41no—
233C23×C73—41no—
234C23×C73—41no—
235C23×C73—41no—
236C23×C73—41no—
237C23×C73C4×D412yes—
238C23×C73C22×D411yescharacteristic
239Q8×C73—22no—
240Q8×C73—22no—
241Q8×C73—41no—
242Q8×C73—41no—
243D4×C73—22no—
244D4×C73—22no—
245D4×C73—41no—
246D4×C73—41no—
247D4×C73—84no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—22no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—22no—
255C2×C4×C73—22no—
256C2×C4×C73—22no—
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×C73C4×D412yes—
264C2×C4×C73C23×C411yescharacteristic
265C2×C4×C73C22×D411yescharacteristic
266C2×C4×C73C2×#4111yescharacteristic
267C2×C4×C73C2×#4111yescharacteristic
268C2×C4×C73H(5,𝔽2)11yescharacteristic
269C2×C4×C732−1+411yescharacteristic
270C2×Dic73—21no—
271C2×Dic73—21no—
272C2×Dic73—21no—
273C2×Dic73—21no—
274C2×Dic73—21no—
275C2×Dic73—22no—
276C2×Dic73—22no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—21no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—41no—
283C2×Dic73—41no—
284C2×Dic73—41no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—84no—
293C2×Dic73#13512yes—
294C2×Dic73#13512yes—
295C8×C73—22no—
296C8×C73C4×D414yes—
297#10596831—41no—
298#10596831—41no—
299C22×C73—22no—
300C22×C73—22no—
301C22×C73—22no—
302C22×C73—41no—
303C22×C73—41no—
304C22×C73—41no—
305C22×C73—41no—
306C22×C73—42no—
307C22×C73—42no—
308C22×C73—42no—
309C22×C73—81no—
310C22×C73—81no—
311C22×C73—81no—
312C22×C73—81no—
313C22×C73C2×C4×D411yescharacteristic
314C22×C73D4211yescharacteristic
315C22×C73#54711yescharacteristic
316C22×C73C2×#13511yescharacteristic
317C22×C73C2×#13511yescharacteristic
318C22×C73#57711yescharacteristic
319C22×C73#57711yescharacteristic
320C4×C73—22no—
321C4×C73—42no—
322C4×C73—42no—
323C4×C73—42no—
324C4×C73C2×C4×D411yescharacteristic
325C4×C73#52011yescharacteristic
326C4×C73#54811yescharacteristic
327C4×C73#55311yescharacteristic
328Dic73—22no—
329Dic73—22no—
330Dic73—41no—
331Dic73—42no—
332Dic73—41no—
333Dic73—42no—
334Dic73—81no—
335Dic73—81no—
336#23023—731nomaximal, Sylow
337C2×C73—42no—
338C2×C73—82no—
339C2×C73#236111yescharacteristic
340C2×C73C4×#13511yescharacteristic
341C2×C73#294911yescharacteristic
342C2×C73#328211yescharacteristic
343C2×C73#328411yescharacteristic
344C2×C73#333711yescharacteristic
345C2×C73#334011yescharacteristic
346C2×#465D7311yescharacteristic
347C2×C4×SD16—731no—
348C2×#427—731no—
349#2363—731no—
350#2362—731no—
351#1968—731no—
352#1941—731no—
353#1928—731no—
354#1925—731no—
355#1875—731no—
356#1873—731no—
357#1863—731no—
358#1862—731no—
359C4×#106—731no—
360C8×C22⋊C4—731no—
361C73#2302311yescharacteristic, complemented, Sylow
362C22×SD16C2×D7311yescharacteristic
363C23×C8C2×D7311yescharacteristic
364C2×C22⋊Q8C2×D7311yescharacteristic
365C2×#121C2×D7311yescharacteristic
366C2×C4×Q8—731no—
367C2×C4×D4—731no—
368C2×#117—731no—
369C2×#117—731no—
370#465Dic7318yescomplemented
371C4×SD16—1464no—
372#427—1464no—
373C2×#107—731no—
374C2×#107—731no—
375C2×#106—731no—
376C2×#106—731no—
377C2×#106C2×D7311yescharacteristic
378C2×#103—731no—
379C2×#103—731no—
380C2×#103C2×D7311yescharacteristic
381C2×#102—731no—
382C2×#102—731no—
383C2×#102C2×D7311yescharacteristic
384C2×C22⋊C8—731no—
385C2×C4×C8—731no—
386C2×C4×C8—731no—
387#391—731no—
388#390—731no—
389#390—1461no—
390#389—731no—
391#389—731no—
392#388—1461no—
393#388—1461no—
394#388—1461no—
395#387—1461no—
396#386—1461no—
397C4×C4⋊C4—731no—
398C4×C4⋊C4—731no—
399C4×C4⋊C4—1461no—
400C4×C22⋊C4—731no—
401C4×C22⋊C4—1461no—
402#340—731no—
403#340—731no—
404#340—731no—
405#340—731no—
406#336—731no—
407#336—731no—
408C22×Q8C22×D7311yescharacteristic
409C22×D4—21no—
410C22×D4C22×D7311yescharacteristic
411C23×C4—1461no—
412C23×C4C22×D7311yescharacteristic
413C2×SD16—22no—
414C2×SD16—22no—
415C2×SD16C2×Dic7314yes—
416C22×C8—22no—
417C22×C8—22no—
418C22×C8—731no—
419C22×C8—731no—
420C22×C8C2×Dic7314yescomplemented
421C22×C8C22×D7311yescharacteristic
422C22×C8C22×D7311yescharacteristic
423C22⋊Q8—22no—
424C22⋊Q8C2×Dic7314yescomplemented
425#121—22no—
426#121C2×Dic7314yes—
427C4×Q8—2921no—
428C4×Q8—1462no—
429C4×D4—2921no—
430C4×D4—1462no—
431#117—2921no—
432#117—2921no—
433#117—1462no—
434#117—1462no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—731no—
437C2×C4⋊C4—731no—
438C2×C4⋊C4—731no—
439C2×C4⋊C4—731no—
440C2×C4⋊C4—1461no—
441C2×C4⋊C4—1461no—
442C2×C4⋊C4—1461no—
443C2×C4⋊C4C22×D7311yescharacteristic
444C2×C4⋊C4C22×D7311yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—731no—
448C2×C22⋊C4—731no—
449C2×C22⋊C4—1461no—
450C2×C22⋊C4—1461no—
451C2×C22⋊C4—1461no—
452C2×C22⋊C4—1461no—
453C2×C22⋊C4—1461no—
454C2×C42—731no—
455C2×C42—731no—
456C2×C42—1461no—
457C2×C42—1461no—
458C2×C42—1461no—
459C2×C42—1461no—
460C2×C42—1461no—
461#107—1462no—
462#107—1462no—
463#106—734no—
464#106—1462no—
465#106C2×Dic7314yescomplemented
466#103—2921no—
467#103—1462no—
468#103C2×Dic7314yescomplemented
469#102—2921no—
470#102—1462no—
471#102C2×Dic7314yes—
472C22⋊C8—1462no—
473C4×C8—1462no—
474C4×C8—1462no—
475#95—731no—
476#95—731no—
477#95—1461no—
478#95—1461no—
479#95—1461no—
480#95—1461no—
481#95—1461no—
482#95—1461no—
483C24—21no—
484C24D4×D7311yescharacteristic
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8C22×Dic7312yes—
491C2×D4—24no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—81no—
498C2×D4—81no—
499C2×D4C22×Dic7312yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—2922no—
508C22×C4—2922no—
509C22×C4—5841no—
510C22×C4—731no—
511C22×C4—731no—
512C22×C4—731no—
513C22×C4—731no—
514C22×C4—1461no—
515C22×C4—1461no—
516C22×C4—1461no—
517C22×C4—1461no—
518C22×C4C22×Dic7312yes—
519C22×C4D4×D7311yescharacteristic
520C22×C4#1192402712yes—
521C22×C4C23×D7311yescharacteristic
522SD16—28no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—28no—
526C2×C8—1461no—
527C2×C8—1461no—
528C2×C8—1461no—
529C2×C8—1461no—
530C2×C8—1461no—
531C2×C8—1461no—
532C2×C8C22×Dic7312yes—
533C2×C8C22×Dic7312yes—
534C2×C8D4×D7312yes—
535C2×C8#1192402712yes—
536C4⋊C4—24no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—2922no—
540C4⋊C4—2922no—
541C4⋊C4—5841no—
542C4⋊C4—732no—
543C4⋊C4—732no—
544C4⋊C4—1461no—
545C4⋊C4—1461no—
546C4⋊C4—1461no—
547C4⋊C4—1461no—
548C4⋊C4—1461no—
549C4⋊C4—1461no—
550C4⋊C4C22×Dic7312yes—
551C4⋊C4C22×Dic7312yes—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—2922no—
555C22⋊C4—2922no—
556C22⋊C4—2922no—
557C22⋊C4—2922no—
558C22⋊C4—5841no—
559C22⋊C4—1462no—
560C22⋊C4—1462no—
561C42—2922no—
562C42—2922no—
563C42—2922no—
564C42—2922no—
565C42—5841no—
566C42—1461no—
567C42—1461no—
568C42—1461no—
569C42—1461no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23D4×Dic7312yes—
584C23C2×D4×D7311yescharacteristic
585Q8—22no—
586Q8—22no—
587Q8—41no—
588Q8—41no—
589D4—22no—
590D4—22no—
591D4—41no—
592D4—41no—
593D4—84no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—2921no—
610C2×C4—2921no—
611C2×C4—2921no—
612C2×C4—2921no—
613C2×C4—2921no—
614C2×C4—2921no—
615C2×C4—2921no—
616C2×C4—2921no—
617C2×C4—2921no—
618C2×C4—2921no—
619C2×C4—5844no—
620C2×C4—732no—
621C2×C4—732no—
622C2×C4—1461no—
623C2×C4—1461no—
624C2×C4—1462no—
625C2×C4—1462no—
626C2×C4—1461no—
627C2×C4—1461no—
628C2×C4—1461no—
629C2×C4—1461no—
630C2×C4—1461no—
631C2×C4—1461no—
632C2×C4—1461no—
633C2×C4—1461no—
634C2×C4D4×Dic7312yes—
635C2×C4C23×Dic7311yescharacteristic
636C2×C4C2×D4×D7311yescharacteristic
637C2×C4C2×#1192402711yescharacteristic
638C2×C4C2×#1192402711yescharacteristic
639C2×C4#1455663711yescharacteristic
640C2×C4#1455663811yescharacteristic
641C8—22no—
642C8—2921no—
643C8—2921no—
644C8D4×Dic7314yes—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22C2×D4×Dic7311yescharacteristic
660C22#1798922111yescharacteristic
661C22#1798923711yescharacteristic
662C22#135×D7311yescharacteristic
663C22#135×D7311yescharacteristic
664C22#1798939311yescharacteristic
665C22#1798939311yescharacteristic
666C4—22no—
667C4—42no—
668C4—42no—
669C4—42no—
670C4—2921no—
671C4—2922no—
672C4—2922no—
673C4—2921no—
674C4—5841no—
675C4—5841no—
676C4—1462no—
677C4—1462no—
678C4C2×D4×Dic7311yescharacteristic
679C4#1798907011yescharacteristic
680C4#1798924311yescharacteristic
681C4#1798928911yescharacteristic
682C2—42no—
683C2—82no—
684C2#2261295111yescharacteristic
685C2#135×Dic7311yescharacteristic
686C2#2261879111yescharacteristic
687C2#2262164511yescharacteristic
688C2#2262165811yescharacteristic
689C2#2262230511yescharacteristic
690C2#2262233911yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC2×#465×C73C2
socleC23×C73C22×D4
prime radicalC2×#121×C73C22
cosocleC22×C4×C73C24
hypercenterC2×#465D73
hypocenterC73#23023
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#465

Complements

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

NH ≅ G/Ntype
1. C2×SD16×Dic73C2semidirect
2. C2×#17988625C2semidirect
4. #22612962C2semidirect
5. #22610787C2semidirect
6. #22610660C2semidirect
7. #22610574C2semidirect
8. #22610553C2semidirect
10. #22610244C2semidirect
11. #22610187C2semidirect
12. #22610180C2semidirect
13. #106×Dic73C2semidirect
14. C8×C22⋊Dic73C2semidirect
58. #465×C73C4semidirect
97. #14556523D4semidirect
122. C22×C8×C73C2×C4semidirect
126. C22⋊Q8×C73C2×C4semidirect
134. #106×C73C2×C4semidirect
135. #103×C73C2×C4semidirect
361. C73#23023semidirect
370. #465Dic73semidirect
420. C22×C8C2×Dic73semidirect
424. C22⋊Q8C2×Dic73semidirect
465. #106C2×Dic73semidirect
468. #103C2×Dic73semidirect

Maximal subgroups

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

subgroupindex
C2×SD16×Dic732
C2×#179886252
#226129732
#226129622
#226107872
#226106602
#226105742
#226105532
#226102542
#226102442
#226101872
#226101802
#106×Dic732
C8×C22⋊Dic732
C2×#465×C732
#2302373