Finite Group Databasebeta

← #33108346

Subgroups — #33108346

Order 18688.

1022 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988699C211yesmaximal, characteristic
2C2×#17988688C211yesmaximal, characteristic, complemented
3#22613006C211yesmaximal, characteristic, complemented
4#22612841C211yesmaximal, characteristic, complemented
5#22610743C211yesmaximal, characteristic, complemented
6#22610701C211yesmaximal, characteristic, complemented
7#22610630C211yesmaximal, characteristic, complemented
8#22610623C211yesmaximal, characteristic, complemented
9#22610281C211yesmaximal, characteristic
10#22610267C211yesmaximal, characteristic, complemented
11#22610201C211yesmaximal, characteristic, complemented
12#22610180C211yesmaximal, characteristic, complemented
13#22609801C211yesmaximal, characteristic, complemented
14C4×#14556512C211yesmaximal, characteristic, complemented
15C2×#463×C73C211yesmaximal, characteristic
16C2×Q8×Dic73C2211yescharacteristic
17C2×D4×Dic73C2211yescharacteristic
18C2×D4×Dic73C2211yescharacteristic
19C2×D4×Dic73C2211yescharacteristic
20#17988699—24no—
21#17988688—24no—
22C2×#14556525C2211yescharacteristic
23C2×#14556523C2211yescharacteristic
24C2×#14556515C2211yescharacteristic
25C2×#14556515C2211yescharacteristic
26C2×#14556512C2211yescharacteristic
27C2×#14556512C2211yescharacteristic
28C2×#14556512C2211yescharacteristic
29C2×#14556512C2211yescharacteristic
30C2×#14556501C2211yescharacteristic
31C2×#14556501C2211yescharacteristic
32C2×C4×#10596831C2211yescharacteristic
33#17988494C2211yescharacteristic
34#17988490C2211yescharacteristic
35#17988486C2211yescharacteristic
36#17988486C2211yescharacteristic
37#17988480—21no—
38#17988480—21no—
39#17988462—21no—
40#17988462—21no—
41#17988462—21no—
42#17988453C2211yescharacteristic
43#17988447—21no—
44C4×C4⋊Dic73C2211yescharacteristic
45C4×C4⋊Dic73C2211yescharacteristic
46C22⋊C4×Dic73—21no—
47C2×#14556498—21no—
48#17988350C2211yescharacteristic
49#17988350C2211yescharacteristic
50#17988349C2211yescharacteristic
51#17988349C2211yescharacteristic
52#17988341C2211yescharacteristic
53#17988341C2211yescharacteristic
54C22×SD16×C73C2211yescharacteristic
55C22×D8×C73C2211yescharacteristic
56C2×#124×C73C2211yescharacteristic
57C2×C4×D4×C73C2211yescharacteristic
58#463×C73C418yescomplemented
59C2×C4⋊C8×C73C2211yescharacteristic
60C2×#103×C73C2211yescharacteristic
61C2×#102×C73C2211yescharacteristic
62C23×Dic73—21no—
63C23×Dic73—21no—
64C23×Dic73—21no—
65C22×#10596831C2311yescharacteristic
66C22×#10596831C2311yescharacteristic
67Q8×Dic73—22no—
68Q8×Dic73—41no—
69D4×Dic73—22no—
70D4×Dic73—22no—
71D4×Dic73—22no—
72D4×Dic73—41no—
73D4×Dic73—41no—
74D4×Dic73—41no—
75C2×C4⋊Dic73—21no—
76C2×C4⋊Dic73—21no—
77C2×C4⋊Dic73—21no—
78C2×C4⋊Dic73D411yescharacteristic
79C2×C4⋊Dic73D411yescharacteristic
80C2×C4⋊Dic73C2311yescharacteristic
81C2×C4⋊Dic73C2311yescharacteristic
82C2×C4⋊Dic73C2311yescharacteristic
83C2×C4⋊Dic73C2311yescharacteristic
84C2×C22⋊Dic73—21no—
85C2×C22⋊Dic73—21no—
86C2×C22⋊Dic73—21no—
87C2×C22⋊Dic73—21no—
88C2×C22⋊Dic73—21no—
89C2×C4×Dic73—21no—
90C2×C4×Dic73—21no—
91C2×C4×Dic73C2311yescharacteristic
92C2×C4×Dic73C2311yescharacteristic
93#14556525—22no—
94#14556523—22no—
95#14556515—22no—
96#14556515—41no—
97#14556512—22no—
98#14556512—22no—
99#14556512—41no—
100#14556512D414yes—
101#14556501—22no—
102#14556501—22no—
103C4×#10596831—22no—
104#14556498—21no—
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×C73C2311yescharacteristic
115C22×D4×C73C2311yescharacteristic
116C23×C4×C73—21no—
117C2×SD16×C73—22no—
118C2×SD16×C73—22no—
119C2×SD16×C73C2×C414yescomplemented
120C2×D8×C73—22no—
121C2×D8×C73—22no—
122C2×D8×C73C2×C414yes—
123C22×C8×C73C2311yescharacteristic
124C22×C8×C73C2311yescharacteristic
125#124×C73—22no—
126#124×C73C2×C414yescomplemented
127C4×D4×C73—22no—
128C4×D4×C73C2×C414yescomplemented
129C2×C4⋊C4×C73C2311yescharacteristic
130C2×C22⋊C4×C73—21no—
131C2×C22⋊C4×C73—21no—
132C2×C22⋊C4×C73—21no—
133C2×C42×C73C2311yescharacteristic
134C4⋊C8×C73C2×C414yescomplemented
135#103×C73C2×C414yescomplemented
136#102×C73C2×C414yescomplemented
137C22×Dic73—21no—
138C22×Dic73—21no—
139C22×Dic73—21no—
140C22×Dic73—21no—
141C22×Dic73—42no—
142C22×Dic73—42no—
143C22×Dic73—42no—
144C22×Dic73—42no—
145C22×Dic73—42no—
146C22×Dic73—42no—
147C22×Dic73—81no—
148C22×Dic73—81no—
149C22×Dic73—81no—
150C22×Dic73C2×D411yescharacteristic
151C22×Dic73C2×D411yescharacteristic
152C22×Dic73C2×D411yescharacteristic
153C22×Dic73C2×D411yescharacteristic
154C2×#10596831—21no—
155C2×#10596831—21no—
156C2×#10596831—21no—
157C2×#10596831—21no—
158C2×#10596831—21no—
159C2×#10596831C2×D412yes—
160C4⋊Dic73—21no—
161C4⋊Dic73—21no—
162C4⋊Dic73—21no—
163C4⋊Dic73—21no—
164C4⋊Dic73—21no—
165C4⋊Dic73—21no—
166C4⋊Dic73—21no—
167C4⋊Dic73—41no—
168C4⋊Dic73—41no—
169C4⋊Dic73—42no—
170C4⋊Dic73—81no—
171C4⋊Dic73—81no—
172C4⋊Dic73C2×D412yes—
173C22⋊Dic73—42no—
174C22⋊Dic73—42no—
175C22⋊Dic73—42no—
176C22⋊Dic73—42no—
177C22⋊Dic73—81no—
178C4×Dic73—21no—
179C4×Dic73—21no—
180C4×Dic73—21no—
181C4×Dic73—21no—
182C4×Dic73—42no—
183C4×Dic73—81no—
184C24×C73—21no—
185C24×C73—21no—
186C2×Q8×C73—21no—
187C2×Q8×C73—21no—
188C2×Q8×C73—21no—
189C2×Q8×C73—21no—
190C2×Q8×C73—21no—
191C2×Q8×C73C22×C412yes—
192C2×D4×C73—21no—
193C2×D4×C73—21no—
194C2×D4×C73—21no—
195C2×D4×C73—21no—
196C2×D4×C73—21no—
197C2×D4×C73—21no—
198C2×D4×C73—21no—
199C2×D4×C73—21no—
200C2×D4×C73C22×C412yes—
201C2×D4×C73C22×C412yes—
202C2×D4×C73C2×D412yes—
203C2×D4×C73#4112yes—
204C22×C4×C73—21no—
205C22×C4×C73—21no—
206C22×C4×C73—24no—
207C22×C4×C73—81no—
208C22×C4×C73—81no—
209C22×C4×C73C2×D411yescharacteristic
210C22×C4×C73C2×D411yescharacteristic
211C22×C4×C73C2411yescharacteristic
212SD16×C73—28no—
213D8×C73—28no—
214C2×C8×C73—21no—
215C2×C8×C73—21no—
216C2×C8×C73—21no—
217C2×C8×C73—21no—
218C2×C8×C73C22×C412yes—
219C2×C8×C73C22×C412yes—
220C4⋊C4×C73—21no—
221C4⋊C4×C73C22×C412yes—
222C22⋊C4×C73—24no—
223C22⋊C4×C73—24no—
224C22⋊C4×C73—24no—
225C42×C73C22×C412yes—
226C42×C73#4112yes—
227C23×C73—22no—
228C23×C73—22no—
229C23×C73—22no—
230C23×C73—22no—
231C23×C73—41no—
232C23×C73—41no—
233C23×C73—41no—
234C23×C73—41no—
235C23×C73—41no—
236C23×C73—41no—
237C23×C73—41no—
238C23×C73—41no—
239C23×C73—41no—
240C23×C73—41no—
241C23×C73C22×D411yescharacteristic
242Q8×C73—22no—
243Q8×C73—22no—
244Q8×C73—41no—
245Q8×C73—41no—
246D4×C73—22no—
247D4×C73—22no—
248D4×C73—22no—
249D4×C73—22no—
250D4×C73—22no—
251D4×C73—41no—
252D4×C73—41no—
253D4×C73C4×D414yes—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
258C2×C4×C73—22no—
259C2×C4×C73—22no—
260C2×C4×C73—41no—
261C2×C4×C73—41no—
262C2×C4×C73—41no—
263C2×C4×C73—41no—
264C2×C4×C73—84no—
265C2×C4×C73C4×D412yes—
266C2×C4×C73C4×D412yes—
267C2×C4×C73C23×C411yescharacteristic
268C2×C4×C73C22×D411yescharacteristic
269C2×C4×C73C2×#4111yescharacteristic
270C2×C4×C73C2×#4111yescharacteristic
271C2×C4×C73H(5,𝔽2)11yescharacteristic
272C2×C4×C732−1+411yescharacteristic
273C2×Dic73—21no—
274C2×Dic73—21no—
275C2×Dic73—21no—
276C2×Dic73—21no—
277C2×Dic73—22no—
278C2×Dic73—21no—
279C2×Dic73—21no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73—21no—
285C2×Dic73—21no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73—41no—
295C2×Dic73—41no—
296C2×Dic73—41no—
297C2×Dic73—84no—
298C2×Dic73—84no—
299C2×Dic73—84no—
300C8×C73—22no—
301C8×C73—22no—
302#10596831—22no—
303#10596831—41no—
304C22×C73—24no—
305C22×C73—42no—
306C22×C73—42no—
307C22×C73—42no—
308C22×C73—42no—
309C22×C73—42no—
310C22×C73—42no—
311C22×C73—42no—
312C22×C73—42no—
313C22×C73—42no—
314C22×C73—81no—
315C22×C73—81no—
316C22×C73—81no—
317C22×C73—81no—
318C22×C73C2×C4×D411yescharacteristic
319C22×C73D4211yescharacteristic
320C22×C73#54811yescharacteristic
321C22×C73#57511yescharacteristic
322C22×C73#57511yescharacteristic
323C22×C73#57611yescharacteristic
324C22×C73#57711yescharacteristic
325C4×C73—22no—
326C4×C73—22no—
327C4×C73—42no—
328C4×C73—42no—
329C4×C73C2×C4×D411yescharacteristic
330C4×C73#52011yescharacteristic
331C4×C73#54711yescharacteristic
332C4×C73#55311yescharacteristic
333Dic73—41no—
334Dic73—41no—
335Dic73—42no—
336Dic73—41no—
337Dic73—41no—
338Dic73—81no—
339Dic73—81no—
340Dic73—81no—
341#23005—731nomaximal, Sylow
342C2×C73—44no—
343C2×C73—82no—
344C2×C73#236111yescharacteristic
345C2×C73#294311yescharacteristic
346C2×C73#294611yescharacteristic
347C2×C73#327311yescharacteristic
348C2×C73#327511yescharacteristic
349C2×C73#337011yescharacteristic
350C2×C73#337611yescharacteristic
351C2×#463D7311yescharacteristic
352C2×#442—731no—
353C2×#440—731no—
354#2367—731no—
355#2349—731no—
356#1958—731no—
357#1949—731no—
358#1936—731no—
359#1935—731no—
360#1879—731no—
361#1877—731no—
362#1865—731no—
363#1862—731no—
364#1770—731no—
365C4×#102—731no—
366C73#2300511yescharacteristic, complemented, Sylow
367C22×SD16C2×D7311yescharacteristic
368C22×D8C2×D7311yescharacteristic
369C2×#124C2×D7311yescharacteristic
370C2×C4×Q8—731no—
371C2×C4×D4—731no—
372C2×C4×D4—731no—
373C2×C4×D4—731no—
374C2×C4×D4C2×D7311yescharacteristic
375#463Dic7318yescomplemented
376#442—1464no—
377#440—1464no—
378C2×#107—731no—
379C2×#106—731no—
380C2×C4⋊C8C2×D7311yescharacteristic
381C2×#103—731no—
382C2×#103—731no—
383C2×#103C2×D7311yescharacteristic
384C2×#102—731no—
385C2×#102—731no—
386C2×#102—731no—
387C2×#102—731no—
388C2×#102C2×D7311yescharacteristic
389C2×#97—731no—
390C2×#97—731no—
391C2×C4×C8—731no—
392#391—731no—
393#390—731no—
394#389—731no—
395#389—731no—
396#388—1461no—
397#388—1461no—
398#385—1461no—
399#385—1461no—
400#385—1461no—
401#382—731no—
402#380—1461no—
403C4×C4⋊C4—731no—
404C4×C4⋊C4—731no—
405C4×C22⋊C4—1461no—
406C2×#95—1461no—
407#340—731no—
408#340—731no—
409#340—731no—
410#340—731no—
411#336—731no—
412#336—731no—
413C22×Q8C22×D7311yescharacteristic
414C22×D4C22×D7311yescharacteristic
415C22×D4C22×D7311yescharacteristic
416C23×C4—21no—
417C23×C4—1461no—
418C23×C4—1461no—
419C23×C4—1461no—
420C2×SD16—22no—
421C2×SD16—22no—
422C2×SD16C2×Dic7314yescomplemented
423C2×D8—22no—
424C2×D8—22no—
425C2×D8C2×Dic7314yes—
426C22×C8—731no—
427C22×C8—731no—
428C22×C8C22×D7311yescharacteristic
429C22×C8C22×D7311yescharacteristic
430#124—22no—
431#124C2×Dic7314yescomplemented
432C4×Q8—2921no—
433C4×Q8—1462no—
434C4×D4—22no—
435C4×D4—2921no—
436C4×D4—2921no—
437C4×D4—2921no—
438C4×D4—1462no—
439C4×D4—1462no—
440C4×D4—1462no—
441C4×D4C2×Dic7314yescomplemented
442C2×C4⋊C4—731no—
443C2×C4⋊C4—731no—
444C2×C4⋊C4—731no—
445C2×C4⋊C4—731no—
446C2×C4⋊C4—731no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—1461no—
449C2×C4⋊C4—1461no—
450C2×C4⋊C4—1461no—
451C2×C4⋊C4C22×D7311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—1461no—
456C2×C22⋊C4—1461no—
457C2×C22⋊C4—1461no—
458C2×C22⋊C4—1461no—
459C2×C22⋊C4—1461no—
460C2×C42—731no—
461C2×C42—731no—
462C2×C42—1461no—
463C2×C42—1461no—
464C2×C42C22×D7311yescharacteristic
465#107—1462no—
466#106—1462no—
467C4⋊C8C2×Dic7314yescomplemented
468#103—2921no—
469#103—1462no—
470#103C2×Dic7314yescomplemented
471#102—2921no—
472#102—734no—
473#102—1462no—
474#102—1462no—
475#102C2×Dic7314yescomplemented
476#97—1462no—
477#97—1462no—
478C4×C8—1462no—
479#95—731no—
480#95—731no—
481#95—1461no—
482#95—1461no—
483#95—1461no—
484#95—1461no—
485#95—1461no—
486#95—1461no—
487#95—1461no—
488C24—21no—
489C24—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8C22×Dic7312yes—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4C22×Dic7312yes—
505C2×D4C22×Dic7312yes—
506C2×D4D4×D7312yes—
507C2×D4#1192402712yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—81no—
512C22×C4—81no—
513C22×C4—2922no—
514C22×C4—2922no—
515C22×C4—2922no—
516C22×C4—2922no—
517C22×C4—2922no—
518C22×C4—2922no—
519C22×C4—5841no—
520C22×C4—5841no—
521C22×C4—5841no—
522C22×C4—731no—
523C22×C4—731no—
524C22×C4—731no—
525C22×C4—731no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4—1461no—
529C22×C4—1461no—
530C22×C4D4×D7311yescharacteristic
531C22×C4D4×D7311yescharacteristic
532C22×C4C23×D7311yescharacteristic
533SD16—28no—
534D8—28no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—732no—
540C2×C8—1461no—
541C2×C8—1461no—
542C2×C8—1461no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8C22×Dic7312yes—
546C2×C8C22×Dic7312yes—
547C4⋊C4—21no—
548C4⋊C4—2921no—
549C4⋊C4—2921no—
550C4⋊C4—2922no—
551C4⋊C4—5841no—
552C4⋊C4—5841no—
553C4⋊C4—732no—
554C4⋊C4—1461no—
555C4⋊C4—1461no—
556C4⋊C4—1461no—
557C4⋊C4—1461no—
558C4⋊C4—1461no—
559C4⋊C4—1461no—
560C4⋊C4—1461no—
561C4⋊C4C22×Dic7312yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—2922no—
566C22⋊C4—2922no—
567C22⋊C4—2922no—
568C22⋊C4—2922no—
569C22⋊C4—5841no—
570C42—2922no—
571C42—5841no—
572C42—1461no—
573C42—1461no—
574C42—1461no—
575C42—1461no—
576C42C22×Dic7312yes—
577C42#1192402712yes—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23C2×D4×D7311yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—41no—
596Q8—41no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—22no—
601D4—22no—
602D4—41no—
603D4—41no—
604D4D4×Dic7314yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—84no—
616C2×C4—2921no—
617C2×C4—2921no—
618C2×C4—2921no—
619C2×C4—2921no—
620C2×C4—2921no—
621C2×C4—2921no—
622C2×C4—2921no—
623C2×C4—2921no—
624C2×C4—2921no—
625C2×C4—2921no—
626C2×C4—2921no—
627C2×C4—5844no—
628C2×C4—5844no—
629C2×C4—5844no—
630C2×C4—1461no—
631C2×C4—1461no—
632C2×C4—1461no—
633C2×C4—1461no—
634C2×C4—1461no—
635C2×C4—1461no—
636C2×C4—1461no—
637C2×C4—1461no—
638C2×C4—1461no—
639C2×C4—1462no—
640C2×C4—1461no—
641C2×C4—1461no—
642C2×C4—1461no—
643C2×C4D4×Dic7312yes—
644C2×C4D4×Dic7312yes—
645C2×C4C23×Dic7311yescharacteristic
646C2×C4C2×D4×D7311yescharacteristic
647C2×C4C2×#1192402711yescharacteristic
648C2×C4C2×#1192402711yescharacteristic
649C2×C4#1455663711yescharacteristic
650C2×C4#1455663811yescharacteristic
651C8—22no—
652C8—22no—
653C8—2921no—
654C8—1462no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C2×D4×Dic7311yescharacteristic
670C22#1798922111yescharacteristic
671C22#1798924311yescharacteristic
672C22#1798938411yescharacteristic
673C22#1798938411yescharacteristic
674C22#1798939111yescharacteristic
675C22#1798939711yescharacteristic
676C4—22no—
677C4—22no—
678C4—42no—
679C4—42no—
680C4—2922no—
681C4—2921no—
682C4—2921no—
683C4—2921no—
684C4—2921no—
685C4—5841no—
686C4—5841no—
687C4—5841no—
688C4C2×D4×Dic7311yescharacteristic
689C4#1798907011yescharacteristic
690C4#1798923711yescharacteristic
691C4#1798928911yescharacteristic
692C2—44no—
693C2—82no—
694C2#2261295111yescharacteristic
695C2#2261873211yescharacteristic
696C2#2261876411yescharacteristic
697C2#2262153711yescharacteristic
698C2#2262156811yescharacteristic
699C2#2262268811yescharacteristic
700C2#2262276211yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC2×#463×C73C2
socleC23×C73C22×D4
prime radicalC22×D8×C73C22
cosocleC22×C4×C73C24
hypercenterC2×#463D73
hypocenterC73#23005
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#463

Complements

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

NH ≅ G/Ntype
2. C2×#17988688C2semidirect
3. #22613006C2semidirect
4. #22612841C2semidirect
5. #22610743C2semidirect
6. #22610701C2semidirect
7. #22610630C2semidirect
8. #22610623C2semidirect
10. #22610267C2semidirect
11. #22610201C2semidirect
12. #22610180C2semidirect
13. #22609801C2semidirect
14. C4×#14556512C2semidirect
58. #463×C73C4semidirect
119. C2×SD16×C73C2×C4semidirect
126. #124×C73C2×C4semidirect
128. C4×D4×C73C2×C4semidirect
134. C4⋊C8×C73C2×C4semidirect
135. #103×C73C2×C4semidirect
136. #102×C73C2×C4semidirect
366. C73#23005semidirect
375. #463Dic73semidirect
422. C2×SD16C2×Dic73semidirect
431. #124C2×Dic73semidirect
441. C4×D4C2×Dic73semidirect
467. C4⋊C8C2×Dic73semidirect
470. #103C2×Dic73semidirect
475. #102C2×Dic73semidirect

Maximal subgroups

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

subgroupindex
C2×#179886992
C2×#179886882
#226130062
#226128412
#226107432
#226107012
#226106302
#226106232
#226102812
#226102672
#226102012
#226101802
#226098012
C4×#145565122
C2×#463×C732
#2300573